diff --git a/docs/changelog.md b/docs/changelog.md
index a49df805a..735fc3665 100644
--- a/docs/changelog.md
+++ b/docs/changelog.md
@@ -6,6 +6,9 @@ Requires libvips v8.14.4
 
 ### v0.32.6 - TBD
 
+* Ensure composite tile images are fully decoded (regression in 0.32.0).
+  [#3767](https://github.com/lovell/sharp/issues/3767)
+
 * Ensure `withMetadata` does not add default sRGB profile to RGB16 (regression in 0.32.5).
   [#3773](https://github.com/lovell/sharp/issues/3773)
 
diff --git a/src/pipeline.cc b/src/pipeline.cc
index f8b0d60eb..692870808 100644
--- a/src/pipeline.cc
+++ b/src/pipeline.cc
@@ -653,7 +653,7 @@ class PipelineWorker : public Napi::AsyncWorker {
             if (across != 0 || down != 0) {
               int left;
               int top;
-              compositeImage = compositeImage.replicate(across, down);
+              compositeImage = compositeImage.copy_memory().replicate(across, down);
               if (composite->hasOffset) {
                 std::tie(left, top) = sharp::CalculateCrop(
                   compositeImage.width(), compositeImage.height(), image.width(), image.height(),
diff --git a/test/unit/composite.js b/test/unit/composite.js
index e7811c755..27ac22ad0 100644
--- a/test/unit/composite.js
+++ b/test/unit/composite.js
@@ -472,4 +472,28 @@ describe('composite', () => {
     assert.strictEqual(b, 19);
     assert.strictEqual(a, 128);
   });
+
+  it('Ensure tiled overlay is fully decoded', async () => {
+    const tile = await sharp({
+      create: {
+        width: 8, height: 513, channels: 3, background: 'red'
+      }
+    })
+      .png({ compressionLevel: 0 })
+      .toBuffer();
+
+    const { info } = await sharp({
+      create: {
+        width: 8, height: 514, channels: 3, background: 'green'
+      }
+    })
+      .composite([{
+        input: tile,
+        tile: true
+      }])
+      .toBuffer({ resolveWithObject: true });
+
+    assert.strictEqual(info.width, 8);
+    assert.strictEqual(info.height, 514);
+  });
 });