diff --git a/libs/renderengine/ExternalTexture.cpp b/libs/renderengine/ExternalTexture.cpp
index 84771c0..210dca5 100644
--- a/libs/renderengine/ExternalTexture.cpp
+++ b/libs/renderengine/ExternalTexture.cpp
@@ -39,7 +39,7 @@
 }
 
 ExternalTexture::~ExternalTexture() {
-    mRenderEngine.unmapExternalTextureBuffer(mBuffer);
+    mRenderEngine.unmapExternalTextureBuffer(std::move(mBuffer));
 }
 
 } // namespace android::renderengine::impl
diff --git a/libs/renderengine/gl/GLESRenderEngine.cpp b/libs/renderengine/gl/GLESRenderEngine.cpp
index 13f766c..0d7df10 100644
--- a/libs/renderengine/gl/GLESRenderEngine.cpp
+++ b/libs/renderengine/gl/GLESRenderEngine.cpp
@@ -800,7 +800,7 @@
     return NO_ERROR;
 }
 
-void GLESRenderEngine::unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) {
+void GLESRenderEngine::unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) {
     mImageManager->releaseAsync(buffer->getId(), nullptr);
 }
 
@@ -1262,7 +1262,7 @@
 
             // Do not cache protected EGLImage, protected memory is limited.
             if (gBuf->getUsage() & GRALLOC_USAGE_PROTECTED) {
-                unmapExternalTextureBuffer(gBuf);
+                unmapExternalTextureBuffer(std::move(gBuf));
             }
         }
 
diff --git a/libs/renderengine/gl/GLESRenderEngine.h b/libs/renderengine/gl/GLESRenderEngine.h
index 1b34921..402ff52 100644
--- a/libs/renderengine/gl/GLESRenderEngine.h
+++ b/libs/renderengine/gl/GLESRenderEngine.h
@@ -101,7 +101,7 @@
     size_t getMaxViewportDims() const override;
     void mapExternalTextureBuffer(const sp<GraphicBuffer>& buffer, bool isRenderable)
             EXCLUDES(mRenderingMutex);
-    void unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) EXCLUDES(mRenderingMutex);
+    void unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) EXCLUDES(mRenderingMutex);
     bool canSkipPostRenderCleanup() const override;
     void drawLayersInternal(const std::shared_ptr<std::promise<FenceResult>>&& resultPromise,
                             const DisplaySettings& display,
diff --git a/libs/renderengine/include/renderengine/RenderEngine.h b/libs/renderengine/include/renderengine/RenderEngine.h
index 39621cd..0d910c9 100644
--- a/libs/renderengine/include/renderengine/RenderEngine.h
+++ b/libs/renderengine/include/renderengine/RenderEngine.h
@@ -231,7 +231,7 @@
     // asynchronously, but the caller can expect that map/unmap calls are performed in a manner
     // that's conflict serializable, i.e. unmap a buffer should never occur before binding the
     // buffer if the caller called mapExternalTextureBuffer before calling unmap.
-    virtual void unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) = 0;
+    virtual void unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) = 0;
 
     // A thread safe query to determine if any post rendering cleanup is necessary.  Returning true
     // is a signal that calling the postRenderCleanup method would be a no-op and that callers can
diff --git a/libs/renderengine/include/renderengine/mock/RenderEngine.h b/libs/renderengine/include/renderengine/mock/RenderEngine.h
index e3ce85d..d3035e2 100644
--- a/libs/renderengine/include/renderengine/mock/RenderEngine.h
+++ b/libs/renderengine/include/renderengine/mock/RenderEngine.h
@@ -63,7 +63,7 @@
 protected:
     // mock renderengine still needs to implement these, but callers should never need to call them.
     void mapExternalTextureBuffer(const sp<GraphicBuffer>&, bool) {}
-    void unmapExternalTextureBuffer(const sp<GraphicBuffer>&) {}
+    void unmapExternalTextureBuffer(sp<GraphicBuffer>&&) {}
 };
 
 } // namespace mock
diff --git a/libs/renderengine/skia/SkiaRenderEngine.cpp b/libs/renderengine/skia/SkiaRenderEngine.cpp
index 413811e..5965d41 100644
--- a/libs/renderengine/skia/SkiaRenderEngine.cpp
+++ b/libs/renderengine/skia/SkiaRenderEngine.cpp
@@ -423,7 +423,7 @@
     }
 }
 
-void SkiaRenderEngine::unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) {
+void SkiaRenderEngine::unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) {
     ATRACE_CALL();
     std::lock_guard<std::mutex> lock(mRenderingMutex);
     if (const auto& iter = mGraphicBufferExternalRefs.find(buffer->getId());
diff --git a/libs/renderengine/skia/SkiaRenderEngine.h b/libs/renderengine/skia/SkiaRenderEngine.h
index 1973c7d..dd6646b 100644
--- a/libs/renderengine/skia/SkiaRenderEngine.h
+++ b/libs/renderengine/skia/SkiaRenderEngine.h
@@ -130,7 +130,7 @@
 private:
     void mapExternalTextureBuffer(const sp<GraphicBuffer>& buffer,
                                   bool isRenderable) override final;
-    void unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) override final;
+    void unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) override final;
     bool canSkipPostRenderCleanup() const override final;
 
     void initCanvas(SkCanvas* canvas, const DisplaySettings& display);
diff --git a/libs/renderengine/threaded/RenderEngineThreaded.cpp b/libs/renderengine/threaded/RenderEngineThreaded.cpp
index 8aa41b3..6a1561a 100644
--- a/libs/renderengine/threaded/RenderEngineThreaded.cpp
+++ b/libs/renderengine/threaded/RenderEngineThreaded.cpp
@@ -230,16 +230,17 @@
     mCondition.notify_one();
 }
 
-void RenderEngineThreaded::unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) {
+void RenderEngineThreaded::unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) {
     ATRACE_CALL();
     // This function is designed so it can run asynchronously, so we do not need to wait
     // for the futures.
     {
         std::lock_guard lock(mThreadMutex);
-        mFunctionCalls.push([=](renderengine::RenderEngine& instance) {
-            ATRACE_NAME("REThreaded::unmapExternalTextureBuffer");
-            instance.unmapExternalTextureBuffer(buffer);
-        });
+        mFunctionCalls.push(
+                [=, buffer = std::move(buffer)](renderengine::RenderEngine& instance) mutable {
+                    ATRACE_NAME("REThreaded::unmapExternalTextureBuffer");
+                    instance.unmapExternalTextureBuffer(std::move(buffer));
+                });
     }
     mCondition.notify_one();
 }
diff --git a/libs/renderengine/threaded/RenderEngineThreaded.h b/libs/renderengine/threaded/RenderEngineThreaded.h
index 168e2d2..6eb108e 100644
--- a/libs/renderengine/threaded/RenderEngineThreaded.h
+++ b/libs/renderengine/threaded/RenderEngineThreaded.h
@@ -69,7 +69,7 @@
 
 protected:
     void mapExternalTextureBuffer(const sp<GraphicBuffer>& buffer, bool isRenderable) override;
-    void unmapExternalTextureBuffer(const sp<GraphicBuffer>& buffer) override;
+    void unmapExternalTextureBuffer(sp<GraphicBuffer>&& buffer) override;
     bool canSkipPostRenderCleanup() const override;
     void drawLayersInternal(const std::shared_ptr<std::promise<FenceResult>>&& resultPromise,
                             const DisplaySettings& display,