diff --git a/services/surfaceflinger/Scheduler/PhaseOffsets.cpp b/services/surfaceflinger/Scheduler/PhaseOffsets.cpp
index 16f6729..276bce1 100644
--- a/services/surfaceflinger/Scheduler/PhaseOffsets.cpp
+++ b/services/surfaceflinger/Scheduler/PhaseOffsets.cpp
@@ -65,6 +65,13 @@
     property_get("debug.sf.high_fps_late_sf_phase_offset_ns", value, "1000000");
     const int highFpsLateSfOffsetNs = atoi(value);
 
+    // Below defines the threshold when an offset is considered to be negative, i.e. targeting
+    // for the N+2 vsync instead of N+1. This means that:
+    // For offset < threshold, SF wake up (vsync_duration - offset) before HW vsync.
+    // For offset >= threshold, SF wake up (2 * vsync_duration - offset) before HW vsync.
+    property_get("debug.sf.phase_offset_threshold_for_next_vsync_ns", value, "-1");
+    const int phaseOffsetThresholdForNextVsyncNs = atoi(value);
+
     mDefaultRefreshRateOffsets.early = {earlySfOffsetNs != -1 ? earlySfOffsetNs
                                                               : sfVsyncPhaseOffsetNs,
                                         earlyAppOffsetNs != -1 ? earlyAppOffsetNs
@@ -84,6 +91,10 @@
                                        highFpsEarlyGlAppOffsetNs != -1 ? highFpsEarlyGlAppOffsetNs
                                                                        : highFpsLateAppOffsetNs};
     mHighRefreshRateOffsets.late = {highFpsLateSfOffsetNs, highFpsLateAppOffsetNs};
+
+    mOffsetThresholdForNextVsync = phaseOffsetThresholdForNextVsyncNs != -1
+            ? phaseOffsetThresholdForNextVsyncNs
+            : std::numeric_limits<nsecs_t>::max();
 }
 
 PhaseOffsets::Offsets PhaseOffsets::getOffsetsForRefreshRate(
diff --git a/services/surfaceflinger/Scheduler/PhaseOffsets.h b/services/surfaceflinger/Scheduler/PhaseOffsets.h
index 08747a5..dc71e6e 100644
--- a/services/surfaceflinger/Scheduler/PhaseOffsets.h
+++ b/services/surfaceflinger/Scheduler/PhaseOffsets.h
@@ -46,6 +46,7 @@
             RefreshRateConfigs::RefreshRateType refreshRateType) const = 0;
     virtual Offsets getCurrentOffsets() const = 0;
     virtual void setRefreshRateType(RefreshRateConfigs::RefreshRateType refreshRateType) = 0;
+    virtual nsecs_t getOffsetThresholdForNextVsync() const = 0;
     virtual void dump(std::string& result) const = 0;
 };
 
@@ -72,6 +73,8 @@
         mRefreshRateType = refreshRateType;
     }
 
+    nsecs_t getOffsetThresholdForNextVsync() const override { return mOffsetThresholdForNextVsync; }
+
     // Returns current offsets in human friendly format.
     void dump(std::string& result) const override;
 
@@ -84,6 +87,7 @@
 
     Offsets mDefaultRefreshRateOffsets;
     Offsets mHighRefreshRateOffsets;
+    nsecs_t mOffsetThresholdForNextVsync;
 };
 } // namespace impl
 
diff --git a/services/surfaceflinger/Scheduler/VSyncModulator.h b/services/surfaceflinger/Scheduler/VSyncModulator.h
index 1a0de08..81a7864 100644
--- a/services/surfaceflinger/Scheduler/VSyncModulator.h
+++ b/services/surfaceflinger/Scheduler/VSyncModulator.h
@@ -139,6 +139,19 @@
         }
     }
 
+    Offsets getOffsets() {
+        // Early offsets are used if we're in the middle of a refresh rate
+        // change, or if we recently begin a transaction.
+        if (mTransactionStart == Scheduler::TransactionStart::EARLY ||
+            mRemainingEarlyFrameCount > 0 || mRefreshRateChangePending) {
+            return mEarlyOffsets;
+        } else if (mLastFrameUsedRenderEngine) {
+            return mEarlyGlOffsets;
+        } else {
+            return mLateOffsets;
+        }
+    }
+
 private:
     void updateOffsets() {
         const Offsets desired = getOffsets();
@@ -167,19 +180,6 @@
         }
     }
 
-    Offsets getOffsets() {
-        // Early offsets are used if we're in the middle of a refresh rate
-        // change, or if we recently begin a transaction.
-        if (mTransactionStart == Scheduler::TransactionStart::EARLY ||
-            mRemainingEarlyFrameCount > 0 || mRefreshRateChangePending) {
-            return mEarlyOffsets;
-        } else if (mLastFrameUsedRenderEngine) {
-            return mEarlyGlOffsets;
-        } else {
-            return mLateOffsets;
-        }
-    }
-
     Offsets mLateOffsets;
     Offsets mEarlyOffsets;
     Offsets mEarlyGlOffsets;
diff --git a/services/surfaceflinger/SurfaceFlinger.cpp b/services/surfaceflinger/SurfaceFlinger.cpp
index 1d54cb2..5e0ba13 100644
--- a/services/surfaceflinger/SurfaceFlinger.cpp
+++ b/services/surfaceflinger/SurfaceFlinger.cpp
@@ -977,8 +977,7 @@
 bool SurfaceFlinger::performSetActiveConfig() {
     ATRACE_CALL();
     if (mCheckPendingFence) {
-        if (mPreviousPresentFence != Fence::NO_FENCE &&
-            (mPreviousPresentFence->getStatus() == Fence::Status::Unsignaled)) {
+        if (previousFrameMissed()) {
             // fence has not signaled yet. wait for the next invalidate
             repaintEverythingForHWC();
             return true;
@@ -1591,12 +1590,23 @@
     setTransactionFlags(eDisplayTransactionNeeded);
 }
 
+bool SurfaceFlinger::previousFrameMissed() NO_THREAD_SAFETY_ANALYSIS {
+    // We are storing the last 2 present fences. If sf's phase offset is to be
+    // woken up before the actual vsync but targeting the next vsync, we need to check
+    // fence N-2
+    const sp<Fence>& fence =
+            mVsyncModulator.getOffsets().sf < mPhaseOffsets->getOffsetThresholdForNextVsync()
+            ? mPreviousPresentFences[0]
+            : mPreviousPresentFences[1];
+
+    return fence != Fence::NO_FENCE && (fence->getStatus() == Fence::Status::Unsignaled);
+}
+
 void SurfaceFlinger::onMessageReceived(int32_t what) NO_THREAD_SAFETY_ANALYSIS {
     ATRACE_CALL();
     switch (what) {
         case MessageQueue::INVALIDATE: {
-            bool frameMissed = mPreviousPresentFence != Fence::NO_FENCE &&
-                    (mPreviousPresentFence->getStatus() == Fence::Status::Unsignaled);
+            bool frameMissed = previousFrameMissed();
             bool hwcFrameMissed = mHadDeviceComposition && frameMissed;
             bool gpuFrameMissed = mHadClientComposition && frameMissed;
             ATRACE_INT("FrameMissed", static_cast<int>(frameMissed));
@@ -1986,9 +1996,11 @@
     }
 
     getBE().mDisplayTimeline.updateSignalTimes();
-    mPreviousPresentFence = displayDevice ? getHwComposer().getPresentFence(*displayDevice->getId())
-                                          : Fence::NO_FENCE;
-    auto presentFenceTime = std::make_shared<FenceTime>(mPreviousPresentFence);
+    mPreviousPresentFences[1] = mPreviousPresentFences[0];
+    mPreviousPresentFences[0] = displayDevice
+            ? getHwComposer().getPresentFence(*displayDevice->getId())
+            : Fence::NO_FENCE;
+    auto presentFenceTime = std::make_shared<FenceTime>(mPreviousPresentFences[0]);
     getBE().mDisplayTimeline.push(presentFenceTime);
 
     DisplayStatInfo stats;
@@ -2079,7 +2091,7 @@
         }
     }
 
-    mTransactionCompletedThread.addPresentFence(mPreviousPresentFence);
+    mTransactionCompletedThread.addPresentFence(mPreviousPresentFences[0]);
     mTransactionCompletedThread.sendCallbacks();
 
     if (mLumaSampling && mRegionSamplingThread) {
diff --git a/services/surfaceflinger/SurfaceFlinger.h b/services/surfaceflinger/SurfaceFlinger.h
index 72e2ff9..fc89f53 100644
--- a/services/surfaceflinger/SurfaceFlinger.h
+++ b/services/surfaceflinger/SurfaceFlinger.h
@@ -824,6 +824,8 @@
         return hwcDisplayId ? getHwComposer().toPhysicalDisplayId(*hwcDisplayId) : std::nullopt;
     }
 
+    bool previousFrameMissed();
+
     /*
      * Debugging & dumpsys
      */
@@ -956,7 +958,7 @@
     std::vector<sp<Layer>> mLayersWithQueuedFrames;
     // Tracks layers that need to update a display's dirty region.
     std::vector<sp<Layer>> mLayersPendingRefresh;
-    sp<Fence> mPreviousPresentFence = Fence::NO_FENCE;
+    std::array<sp<Fence>, 2> mPreviousPresentFences = {Fence::NO_FENCE, Fence::NO_FENCE};
     // True if in the previous frame at least one layer was composed via the GPU.
     bool mHadClientComposition = false;
     // True if in the previous frame at least one layer was composed via HW Composer.
diff --git a/services/surfaceflinger/tests/unittests/FakePhaseOffsets.h b/services/surfaceflinger/tests/unittests/FakePhaseOffsets.h
index cfa8337..96121bb 100644
--- a/services/surfaceflinger/tests/unittests/FakePhaseOffsets.h
+++ b/services/surfaceflinger/tests/unittests/FakePhaseOffsets.h
@@ -49,6 +49,8 @@
     // refresh rates, to properly update the offsets.
     void setRefreshRateType(RefreshRateConfigs::RefreshRateType /*refreshRateType*/) override {}
 
+    nsecs_t getOffsetThresholdForNextVsync() const override { return FAKE_PHASE_OFFSET_NS; }
+
     // Returns current offsets in human friendly format.
     void dump(std::string& /*result*/) const override {}
 };