diff --git a/libs/hwui/Glop.h b/libs/hwui/Glop.h
index 46dd598..b396e22 100644
--- a/libs/hwui/Glop.h
+++ b/libs/hwui/Glop.h
@@ -119,7 +119,6 @@
 
         struct TextureData {
             Texture* texture;
-            GLenum target;
             GLenum filter;
             GLenum clamp;
             Matrix4* textureTransform;
diff --git a/libs/hwui/GlopBuilder.cpp b/libs/hwui/GlopBuilder.cpp
index f14b50a..3b5fc71 100644
--- a/libs/hwui/GlopBuilder.cpp
+++ b/libs/hwui/GlopBuilder.cpp
@@ -308,8 +308,7 @@
 
     GLenum filter = (textureFillFlags & TextureFillFlags::ForceFilter)
             ? GL_LINEAR : PaintUtils::getFilter(paint);
-    mOutGlop->fill.texture = { &texture,
-            GL_TEXTURE_2D, filter, GL_CLAMP_TO_EDGE, nullptr };
+    mOutGlop->fill.texture = { &texture, filter, GL_CLAMP_TO_EDGE, nullptr };
 
     if (paint) {
         int color = paint->getColor();
@@ -352,10 +351,10 @@
 
     if (CC_LIKELY(!shadowInterp)) {
         mOutGlop->fill.texture = {
-                nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+                nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
     } else {
         mOutGlop->fill.texture = {
-                mCaches.textureState().getShadowLutTexture(), GL_TEXTURE_2D,
+                mCaches.textureState().getShadowLutTexture(),
                 GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
     }
 
@@ -373,7 +372,7 @@
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
     //specify invalid filter/clamp, since these are always static for PathTextures
-    mOutGlop->fill.texture = { &texture, GL_TEXTURE_2D, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+    mOutGlop->fill.texture = { &texture, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
 
     setFill(paint.getColor(), alphaScale,
             paint.getBlendMode(), Blend::ModeOrderSwap::NoSwap,
@@ -390,7 +389,7 @@
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
     //specify invalid filter/clamp, since these are always static for ShadowTextures
-    mOutGlop->fill.texture = { &texture, GL_TEXTURE_2D, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+    mOutGlop->fill.texture = { &texture, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
 
     const int ALPHA_BITMASK = SK_ColorBLACK;
     const int COLOR_BITMASK = ~ALPHA_BITMASK;
@@ -412,7 +411,7 @@
     TRIGGER_STAGE(kFillStage);
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
-    mOutGlop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+    mOutGlop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
     setFill(SK_ColorBLACK, 1.0f, SkBlendMode::kSrcOver, Blend::ModeOrderSwap::NoSwap,
             nullptr, nullptr);
     return *this;
@@ -422,7 +421,7 @@
     TRIGGER_STAGE(kFillStage);
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
-    mOutGlop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+    mOutGlop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
     setFill(SK_ColorBLACK, 1.0f, SkBlendMode::kClear, Blend::ModeOrderSwap::NoSwap,
             nullptr, nullptr);
     return *this;
@@ -433,8 +432,7 @@
     TRIGGER_STAGE(kFillStage);
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
-    mOutGlop->fill.texture = { &texture,
-            GL_TEXTURE_2D, GL_LINEAR, GL_CLAMP_TO_EDGE, nullptr };
+    mOutGlop->fill.texture = { &texture, GL_LINEAR, GL_CLAMP_TO_EDGE, nullptr };
 
     setFill(SK_ColorWHITE, alpha, mode, modeUsage, nullptr, colorFilter);
 
@@ -447,7 +445,7 @@
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
     mOutGlop->fill.texture = { &(layer.getTexture()),
-            layer.getRenderTarget(), GL_LINEAR, GL_CLAMP_TO_EDGE, &layer.getTexTransform() };
+            GL_LINEAR, GL_CLAMP_TO_EDGE, &layer.getTexTransform() };
 
     setFill(SK_ColorWHITE, alpha, layer.getMode(), Blend::ModeOrderSwap::NoSwap,
             nullptr, layer.getColorFilter());
@@ -461,9 +459,7 @@
     TRIGGER_STAGE(kFillStage);
     REQUIRE_STAGES(kMeshStage | kRoundRectClipStage);
 
-    mOutGlop->fill.texture = { &texture,
-            GL_TEXTURE_EXTERNAL_OES, GL_LINEAR, GL_CLAMP_TO_EDGE,
-            &textureTransform };
+    mOutGlop->fill.texture = { &texture, GL_LINEAR, GL_CLAMP_TO_EDGE, &textureTransform };
 
     setFill(SK_ColorWHITE, 1.0f, SkBlendMode::kSrc, Blend::ModeOrderSwap::NoSwap,
             nullptr, nullptr);
@@ -603,7 +599,7 @@
 void GlopBuilder::build() {
     REQUIRE_STAGES(kAllStages);
     if (mOutGlop->mesh.vertices.attribFlags & VertexAttribFlags::TextureCoord) {
-        if (mOutGlop->fill.texture.target == GL_TEXTURE_2D) {
+        if (mOutGlop->fill.texture.texture->target() == GL_TEXTURE_2D) {
             mDescription.hasTexture = true;
         } else {
             mDescription.hasExternalTexture = true;
@@ -668,7 +664,8 @@
     ALOGD("    program %p", fill.program);
     if (fill.texture.texture) {
         ALOGD("    texture %p, target %d, filter %d, clamp %d",
-                fill.texture.texture, fill.texture.target, fill.texture.filter, fill.texture.clamp);
+                fill.texture.texture, fill.texture.texture->target(),
+                fill.texture.filter, fill.texture.clamp);
         if (fill.texture.textureTransform) {
             fill.texture.textureTransform->dump("texture transform");
         }
diff --git a/libs/hwui/GlopBuilder.h b/libs/hwui/GlopBuilder.h
index d511ccb..8a8b652 100644
--- a/libs/hwui/GlopBuilder.h
+++ b/libs/hwui/GlopBuilder.h
@@ -72,9 +72,8 @@
     GlopBuilder& setFillLayer(Texture& texture, const SkColorFilter* colorFilter,
             float alpha, SkBlendMode mode, Blend::ModeOrderSwap modeUsage);
     GlopBuilder& setFillTextureLayer(Layer& layer, float alpha);
-    // TODO: Texture should probably know and own its target.
-    // setFillLayer() forces it to GL_TEXTURE which isn't always correct.
-    // Similarly setFillLayer normally forces its own wrap & filter mode
+    // TODO: setFillLayer normally forces its own wrap & filter mode,
+    // which isn't always correct.
     GlopBuilder& setFillExternalTexture(Texture& texture, Matrix4& textureTransform);
 
     GlopBuilder& setTransform(const Matrix4& canvas, const int transformFlags);
diff --git a/libs/hwui/Layer.cpp b/libs/hwui/Layer.cpp
index 4e12bce..88817ef 100644
--- a/libs/hwui/Layer.cpp
+++ b/libs/hwui/Layer.cpp
@@ -41,7 +41,6 @@
     // TODO: This is a violation of Android's typical ref counting, but it
     // preserves the old inc/dec ref locations. This should be changed...
     incStrong(nullptr);
-    renderTarget = GL_NONE;  // see DeferredLayerUpdater::updateLayer()
     texture.mWidth = layerWidth;
     texture.mHeight = layerHeight;
     renderState.registerLayer(this);
@@ -66,7 +65,7 @@
 
 void Layer::bindTexture() const {
     if (texture.mId) {
-        caches.textureState().bindTexture(renderTarget, texture.mId);
+        caches.textureState().bindTexture(texture.target(), texture.mId);
     }
 }
 
diff --git a/libs/hwui/Layer.h b/libs/hwui/Layer.h
index 9874ce2..8e71cd1 100644
--- a/libs/hwui/Layer.h
+++ b/libs/hwui/Layer.h
@@ -75,7 +75,8 @@
     }
 
     void setSize(uint32_t width, uint32_t height) {
-        texture.updateSize(width, height, texture.internalFormat(), texture.format());
+        texture.updateSize(width, height, texture.internalFormat(), texture.format(),
+                texture.target());
     }
 
     inline void setBlend(bool blend) {
@@ -120,23 +121,23 @@
     }
 
     inline GLenum getRenderTarget() const {
-        return renderTarget;
+        return texture.target();
     }
 
     inline void setRenderTarget(GLenum renderTarget) {
-        this->renderTarget = renderTarget;
+        texture.mTarget = renderTarget;
     }
 
     inline bool isRenderable() const {
-        return renderTarget != GL_NONE;
+        return texture.target() != GL_NONE;
     }
 
     void setWrap(GLenum wrap, bool bindTexture = false, bool force = false) {
-        texture.setWrap(wrap, bindTexture, force, renderTarget);
+        texture.setWrap(wrap, bindTexture, force);
     }
 
     void setFilter(GLenum filter, bool bindTexture = false, bool force = false) {
-        texture.setFilter(filter, bindTexture, force, renderTarget);
+        texture.setFilter(filter, bindTexture, force);
     }
 
     inline SkColorFilter* getColorFilter() const {
@@ -186,11 +187,6 @@
     Texture texture;
 
     /**
-     * Indicates the render target.
-     */
-    GLenum renderTarget = GL_TEXTURE_2D;
-
-    /**
      * Color filter used to draw this layer. Optional.
      */
     SkColorFilter* colorFilter = nullptr;
diff --git a/libs/hwui/Readback.cpp b/libs/hwui/Readback.cpp
index 22c6dfc..1645218 100644
--- a/libs/hwui/Readback.cpp
+++ b/libs/hwui/Readback.cpp
@@ -196,8 +196,8 @@
     }
 
     Texture sourceTexture(caches);
-    sourceTexture.wrap(sourceTexId,
-            sourceBuffer->getWidth(), sourceBuffer->getHeight(), 0, 0 /* total lie */);
+    sourceTexture.wrap(sourceTexId, sourceBuffer->getWidth(),
+            sourceBuffer->getHeight(), 0, 0 /* total lie */, GL_TEXTURE_EXTERNAL_OES);
 
     CopyResult copyResult = copyTextureInto(caches, renderThread.renderState(),
             sourceTexture, texTransform, srcRect, bitmap);
diff --git a/libs/hwui/Texture.cpp b/libs/hwui/Texture.cpp
index 09e107e..c4a65f6 100644
--- a/libs/hwui/Texture.cpp
+++ b/libs/hwui/Texture.cpp
@@ -48,37 +48,34 @@
     }
 }
 
-void Texture::setWrapST(GLenum wrapS, GLenum wrapT, bool bindTexture, bool force,
-        GLenum renderTarget) {
+void Texture::setWrapST(GLenum wrapS, GLenum wrapT, bool bindTexture, bool force) {
 
     if (force || wrapS != mWrapS || wrapT != mWrapT) {
         mWrapS = wrapS;
         mWrapT = wrapT;
 
         if (bindTexture) {
-            mCaches.textureState().bindTexture(renderTarget, mId);
+            mCaches.textureState().bindTexture(mTarget, mId);
         }
 
-        glTexParameteri(renderTarget, GL_TEXTURE_WRAP_S, wrapS);
-        glTexParameteri(renderTarget, GL_TEXTURE_WRAP_T, wrapT);
+        glTexParameteri(mTarget, GL_TEXTURE_WRAP_S, wrapS);
+        glTexParameteri(mTarget, GL_TEXTURE_WRAP_T, wrapT);
     }
 }
 
-void Texture::setFilterMinMag(GLenum min, GLenum mag, bool bindTexture, bool force,
-        GLenum renderTarget) {
-
+void Texture::setFilterMinMag(GLenum min, GLenum mag, bool bindTexture, bool force) {
     if (force || min != mMinFilter || mag != mMagFilter) {
         mMinFilter = min;
         mMagFilter = mag;
 
         if (bindTexture) {
-            mCaches.textureState().bindTexture(renderTarget, mId);
+            mCaches.textureState().bindTexture(mTarget, mId);
         }
 
         if (mipMap && min == GL_LINEAR) min = GL_LINEAR_MIPMAP_LINEAR;
 
-        glTexParameteri(renderTarget, GL_TEXTURE_MIN_FILTER, min);
-        glTexParameteri(renderTarget, GL_TEXTURE_MAG_FILTER, mag);
+        glTexParameteri(mTarget, GL_TEXTURE_MIN_FILTER, min);
+        glTexParameteri(mTarget, GL_TEXTURE_MAG_FILTER, mag);
     }
 }
 
@@ -87,15 +84,20 @@
     mId = 0;
 }
 
-bool Texture::updateSize(uint32_t width, uint32_t height, GLint internalFormat, GLint format) {
-    if (mWidth == width && mHeight == height &&
-            mFormat == format && mInternalFormat == internalFormat) {
+bool Texture::updateSize(uint32_t width, uint32_t height, GLint internalFormat,
+        GLint format, GLenum target) {
+    if (mWidth == width
+            && mHeight == height
+            && mFormat == format
+            && mInternalFormat == internalFormat
+            && mTarget == target) {
         return false;
     }
     mWidth = width;
     mHeight = height;
     mFormat = format;
     mInternalFormat = internalFormat;
+    mTarget = target;
     notifySizeChanged(mWidth * mHeight * bytesPerPixel(internalFormat));
     return true;
 }
@@ -110,7 +112,7 @@
 void Texture::upload(GLint internalFormat, uint32_t width, uint32_t height,
         GLenum format, GLenum type, const void* pixels) {
     GL_CHECKPOINT(MODERATE);
-    bool needsAlloc = updateSize(width, height, internalFormat, format);
+    bool needsAlloc = updateSize(width, height, internalFormat, format, GL_TEXTURE_2D);
     if (!mId) {
         glGenTextures(1, &mId);
         needsAlloc = true;
@@ -241,7 +243,7 @@
     GLint internalFormat, format, type;
     colorTypeToGlFormatAndType(mCaches, bitmap.colorType(), needSRGB, &internalFormat, &format, &type);
 
-    if (updateSize(bitmap.width(), bitmap.height(), internalFormat, format)) {
+    if (updateSize(bitmap.width(), bitmap.height(), internalFormat, format, GL_TEXTURE_2D)) {
         needsAlloc = true;
     }
 
@@ -286,12 +288,14 @@
     }
 }
 
-void Texture::wrap(GLuint id, uint32_t width, uint32_t height, GLint internalFormat, GLint format) {
+void Texture::wrap(GLuint id, uint32_t width, uint32_t height,
+        GLint internalFormat, GLint format, GLenum target) {
     mId = id;
     mWidth = width;
     mHeight = height;
     mFormat = format;
     mInternalFormat = internalFormat;
+    mTarget = target;
     // We're wrapping an existing texture, so don't double count this memory
     notifySizeChanged(0);
 }
diff --git a/libs/hwui/Texture.h b/libs/hwui/Texture.h
index 57cfc2b..d73789a 100644
--- a/libs/hwui/Texture.h
+++ b/libs/hwui/Texture.h
@@ -41,21 +41,19 @@
 
     virtual ~Texture() { }
 
-    inline void setWrap(GLenum wrap, bool bindTexture = false, bool force = false,
-                GLenum renderTarget = GL_TEXTURE_2D) {
-        setWrapST(wrap, wrap, bindTexture, force, renderTarget);
+    inline void setWrap(GLenum wrap, bool bindTexture = false, bool force = false) {
+        setWrapST(wrap, wrap, bindTexture, force);
     }
 
     virtual void setWrapST(GLenum wrapS, GLenum wrapT, bool bindTexture = false,
-            bool force = false, GLenum renderTarget = GL_TEXTURE_2D);
+            bool force = false);
 
-    inline void setFilter(GLenum filter, bool bindTexture = false, bool force = false,
-                GLenum renderTarget = GL_TEXTURE_2D) {
-        setFilterMinMag(filter, filter, bindTexture, force, renderTarget);
+    inline void setFilter(GLenum filter, bool bindTexture = false, bool force = false) {
+        setFilterMinMag(filter, filter, bindTexture, force);
     }
 
     virtual void setFilterMinMag(GLenum min, GLenum mag, bool bindTexture = false,
-            bool force = false, GLenum renderTarget = GL_TEXTURE_2D);
+            bool force = false);
 
     /**
      * Convenience method to call glDeleteTextures() on this texture's id.
@@ -91,7 +89,8 @@
     /**
      * Wraps an existing texture.
      */
-    void wrap(GLuint id, uint32_t width, uint32_t height, GLint internalFormat, GLint format);
+    void wrap(GLuint id, uint32_t width, uint32_t height, GLint internalFormat,
+            GLint format, GLenum target);
 
     GLuint id() const {
         return mId;
@@ -113,6 +112,10 @@
         return mInternalFormat;
     }
 
+    GLenum target() const {
+        return mTarget;
+    }
+
     /**
      * Generation of the backing bitmap,
      */
@@ -152,7 +155,8 @@
     friend class Layer;
 
     // Returns true if the size changed, false if it was the same
-    bool updateSize(uint32_t width, uint32_t height, GLint internalFormat, GLint format);
+    bool updateSize(uint32_t width, uint32_t height, GLint internalFormat,
+            GLint format, GLenum target);
     void resetCachedParams();
 
     GLuint mId = 0;
@@ -160,6 +164,7 @@
     uint32_t mHeight = 0;
     GLint mFormat = 0;
     GLint mInternalFormat = 0;
+    GLenum mTarget = GL_NONE;
 
     /* See GLES spec section 3.8.14
      * "In the initial state, the value assigned to TEXTURE_MIN_FILTER is
diff --git a/libs/hwui/renderstate/RenderState.cpp b/libs/hwui/renderstate/RenderState.cpp
index 84ab3f3..72af7c9 100644
--- a/libs/hwui/renderstate/RenderState.cpp
+++ b/libs/hwui/renderstate/RenderState.cpp
@@ -278,12 +278,12 @@
         // texture always takes slot 0, shader samplers increment from there
         mCaches->textureState().activateTexture(0);
 
-        mCaches->textureState().bindTexture(texture.target, texture.texture->id());
+        mCaches->textureState().bindTexture(texture.texture->target(), texture.texture->id());
         if (texture.clamp != GL_INVALID_ENUM) {
-            texture.texture->setWrap(texture.clamp, false, false, texture.target);
+            texture.texture->setWrap(texture.clamp, false, false);
         }
         if (texture.filter != GL_INVALID_ENUM) {
-            texture.texture->setFilter(texture.filter, false, false, texture.target);
+            texture.texture->setFilter(texture.filter, false, false);
         }
 
         if (texture.textureTransform) {
diff --git a/libs/hwui/tests/unit/GlopBuilderTests.cpp b/libs/hwui/tests/unit/GlopBuilderTests.cpp
index 67e58e2..ce1db05 100644
--- a/libs/hwui/tests/unit/GlopBuilderTests.cpp
+++ b/libs/hwui/tests/unit/GlopBuilderTests.cpp
@@ -45,7 +45,11 @@
     EXPECT_EQ(expectedFill.skiaShaderData.skiaShaderType, builtFill.skiaShaderData.skiaShaderType);
     EXPECT_EQ(expectedFill.texture.clamp, builtFill.texture.clamp);
     EXPECT_EQ(expectedFill.texture.filter, builtFill.texture.filter);
-    EXPECT_EQ(expectedFill.texture.target, builtFill.texture.target);
+    EXPECT_TRUE((expectedFill.texture.texture && builtFill.texture.texture)
+            || (!expectedFill.texture.texture && !builtFill.texture.texture));
+    if (expectedFill.texture.texture) {
+        EXPECT_EQ(expectedFill.texture.texture->target(), builtFill.texture.texture->target());
+    }
     EXPECT_EQ(expectedFill.texture.textureTransform, builtFill.texture.textureTransform);
 }
 
@@ -108,7 +112,7 @@
     glop->fill.color.set(Color::Black);
     glop->fill.skiaShaderData.skiaShaderType = kNone_SkiaShaderType;
     glop->fill.filterMode = ProgramDescription::ColorFilterMode::None;
-    glop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
+    glop->fill.texture = { nullptr, GL_INVALID_ENUM, GL_INVALID_ENUM, nullptr };
     return glop;
 }