diff --git a/Tests/test_image_transform.py b/Tests/test_image_transform.py
index 845900267..ea208362b 100644
--- a/Tests/test_image_transform.py
+++ b/Tests/test_image_transform.py
@@ -32,6 +32,11 @@ class TestImageTransform:
             new_im = im.transform((100, 100), transform)
         assert new_im.info["comment"] == comment
 
+    def test_palette(self):
+        with Image.open("Tests/images/hopper.gif") as im:
+            transformed = im.transform(im.size, Image.AFFINE, [1, 0, 0, 0, 1, 0])
+            assert im.palette.palette == transformed.palette.palette
+
     def test_extent(self):
         im = hopper("RGB")
         (w, h) = im.size
diff --git a/src/PIL/Image.py b/src/PIL/Image.py
index 5d565f613..e31e0371e 100644
--- a/src/PIL/Image.py
+++ b/src/PIL/Image.py
@@ -2479,6 +2479,8 @@ class Image:
             raise ValueError("missing method data")
 
         im = new(self.mode, size, fillcolor)
+        if self.mode == "P" and self.palette:
+            im.palette = self.palette.copy()
         im.info = self.info.copy()
         if method == MESH:
             # list of quads