diff --git a/Tests/test_file_jpeg2k.py b/Tests/test_file_jpeg2k.py
index 37ce726dbe8..eaa4aaa7a35 100644
--- a/Tests/test_file_jpeg2k.py
+++ b/Tests/test_file_jpeg2k.py
@@ -110,10 +110,11 @@ def test_prog_res_rt(self):
         self.assert_image_equal(im, test_card)
 
     def test_reduce(self):
-        with Image.open("Tests/images/test-card-lossless.jp2") as im:
-            im.reduce = 2
-            im.load()
-            self.assertEqual(im.size, (160, 120))
+        for var in ["reduce", "load_reduce"]:
+            with Image.open("Tests/images/test-card-lossless.jp2") as im:
+                setattr(im, var, 2)
+                im.load()
+                self.assertEqual(im.size, (160, 120))
 
     def test_layers_type(self):
         outfile = self.tempfile("temp_layers.jp2")
diff --git a/Tests/test_image_reduce.py b/Tests/test_image_reduce.py
index d8f2ce1ec39..ce7cfc6cbfc 100644
--- a/Tests/test_image_reduce.py
+++ b/Tests/test_image_reduce.py
@@ -242,3 +242,7 @@ def test_mode_F(self):
         for factor in self.remarkable_factors:
             self.compare_reduce_with_reference(im, factor, 0, 0)
             self.compare_reduce_with_box(im, factor)
+
+    def test_jpeg2k(self):
+        with Image.open("Tests/images/test-card-lossless.jp2") as im:
+            self.assertEqual(im.reduce(2).size, (320, 240))
diff --git a/src/PIL/Jpeg2KImagePlugin.py b/src/PIL/Jpeg2KImagePlugin.py
index 2c51d36780a..4714d6e2df7 100644
--- a/src/PIL/Jpeg2KImagePlugin.py
+++ b/src/PIL/Jpeg2KImagePlugin.py
@@ -176,7 +176,7 @@ def _open(self):
         if self.size is None or self.mode is None:
             raise SyntaxError("unable to determine size/mode")
 
-        self.reduce = 0
+        self.load_reduce = 0
         self.layers = 0
 
         fd = -1
@@ -200,13 +200,14 @@ def _open(self):
                 "jpeg2k",
                 (0, 0) + self.size,
                 0,
-                (self.codec, self.reduce, self.layers, fd, length),
+                (self.codec, self.load_reduce, self.layers, fd, length),
             )
         ]
 
     def load(self):
-        if self.reduce:
-            power = 1 << self.reduce
+        reduce = self.reduce if not callable(self.reduce) else self.load_reduce
+        if reduce:
+            power = 1 << reduce
             adjust = power >> 1
             self._size = (
                 int((self.size[0] + adjust) / power),
@@ -216,7 +217,7 @@ def load(self):
         if self.tile:
             # Update the reduce and layers settings
             t = self.tile[0]
-            t3 = (t[3][0], self.reduce, self.layers, t[3][3], t[3][4])
+            t3 = (t[3][0], reduce, self.layers, t[3][3], t[3][4])
             self.tile = [(t[0], (0, 0) + self.size, t[2], t3)]
 
         return ImageFile.ImageFile.load(self)