diff --git a/src/cairo-surface-snapshot.c b/src/cairo-surface-snapshot.c
index 4277f66d6..5e1ec749f 100644
--- a/src/cairo-surface-snapshot.c
+++ b/src/cairo-surface-snapshot.c
@@ -136,12 +136,16 @@ _cairo_surface_snapshot_copy_on_write (cairo_surface_t *surface)
 							image->height,
 							0);
     if (likely (clone->base.status == CAIRO_STATUS_SUCCESS)) {
-	pixman_image_composite32 (PIXMAN_OP_SRC,
-                                  image->pixman_image, NULL, clone->pixman_image,
-                                  0, 0,
-                                  0, 0,
-                                  0, 0,
-                                  image->width, image->height);
+	if (clone->stride == image->stride) {
+	    memcpy (clone->data, image->data, image->stride * image->height);
+	} else {
+	    pixman_image_composite32 (PIXMAN_OP_SRC,
+				      image->pixman_image, NULL, clone->pixman_image,
+				      0, 0,
+				      0, 0,
+				      0, 0,
+				      image->width, image->height);
+	}
 	clone->base.is_clear = FALSE;
 
 	snapshot->clone = &clone->base;