diff --git a/Tests/test_image_quantize.py b/Tests/test_image_quantize.py
index 1ceff0842..bd9db362c 100644
--- a/Tests/test_image_quantize.py
+++ b/Tests/test_image_quantize.py
@@ -63,6 +63,7 @@ def test_quantize_no_dither():
 
     converted = image.quantize(dither=0, palette=palette)
     assert_image(converted, "P", converted.size)
+    assert converted.palette.palette == palette.palette.palette
 
 
 def test_quantize_dither_diff():
diff --git a/src/PIL/Image.py b/src/PIL/Image.py
index f53dbe016..7dd5b35bd 100644
--- a/src/PIL/Image.py
+++ b/src/PIL/Image.py
@@ -1130,7 +1130,9 @@ class Image:
                     "only RGB or L mode images can be quantized to a palette"
                 )
             im = self.im.convert("P", dither, palette.im)
-            return self._new(im)
+            new_im = self._new(im)
+            new_im.palette = palette.palette.copy()
+            return new_im
 
         im = self._new(self.im.quantize(colors, method, kmeans))