diff --git a/Tests/test_file_psd.py b/Tests/test_file_psd.py
index 3b8a7add6..3d434d5a7 100644
--- a/Tests/test_file_psd.py
+++ b/Tests/test_file_psd.py
@@ -65,6 +65,12 @@ class TestImagePsd(PillowTestCase):
 
         self.assertRaises(EOFError, im.seek, -1)
 
+    def test_open_after_exclusive_load(self):
+        im = Image.open(test_file)
+        im.load()
+        im.seek(im.tell()+1)
+        im.load()
+
     def test_icc_profile(self):
         im = Image.open(test_file)
         self.assertIn("icc_profile", im.info)
diff --git a/src/PIL/PsdImagePlugin.py b/src/PIL/PsdImagePlugin.py
index a8d370eed..17e6bc4e9 100644
--- a/src/PIL/PsdImagePlugin.py
+++ b/src/PIL/PsdImagePlugin.py
@@ -54,6 +54,7 @@ class PsdImageFile(ImageFile.ImageFile):
 
     format = "PSD"
     format_description = "Adobe Photoshop"
+    _close_exclusive_fp_after_loading = False
 
     def _open(self):