diff --git a/Tests/test_file_fpx.py b/Tests/test_file_fpx.py
index fa22e90f6..9a1784d31 100644
--- a/Tests/test_file_fpx.py
+++ b/Tests/test_file_fpx.py
@@ -18,6 +18,16 @@ def test_sanity():
         assert_image_equal_tofile(im, "Tests/images/input_bw_one_band.png")
 
 
+def test_close():
+    with Image.open("Tests/images/input_bw_one_band.fpx") as im:
+        pass
+    assert im.ole.fp.closed
+
+    im = Image.open("Tests/images/input_bw_one_band.fpx")
+    im.close()
+    assert im.ole.fp.closed
+
+
 def test_invalid_file():
     # Test an invalid OLE file
     invalid_file = "Tests/images/flower.jpg"
diff --git a/Tests/test_file_mic.py b/Tests/test_file_mic.py
index 464d138e2..2588d3a05 100644
--- a/Tests/test_file_mic.py
+++ b/Tests/test_file_mic.py
@@ -51,6 +51,16 @@ def test_seek():
         assert im.tell() == 0
 
 
+def test_close():
+    with Image.open(TEST_FILE) as im:
+        pass
+    assert im.ole.fp.closed
+
+    im = Image.open(TEST_FILE)
+    im.close()
+    assert im.ole.fp.closed
+
+
 def test_invalid_file():
     # Test an invalid OLE file
     invalid_file = "Tests/images/flower.jpg"
diff --git a/src/PIL/FpxImagePlugin.py b/src/PIL/FpxImagePlugin.py
index d145d01f7..2450c67e9 100644
--- a/src/PIL/FpxImagePlugin.py
+++ b/src/PIL/FpxImagePlugin.py
@@ -235,6 +235,14 @@ class FpxImageFile(ImageFile.ImageFile):
 
         return ImageFile.ImageFile.load(self)
 
+    def close(self):
+        self.ole.close()
+        super().close()
+
+    def __exit__(self, *args):
+        self.ole.close()
+        super().__exit__()
+
 
 #
 # --------------------------------------------------------------------
diff --git a/src/PIL/MicImagePlugin.py b/src/PIL/MicImagePlugin.py
index 8dd9f2909..58f7327bd 100644
--- a/src/PIL/MicImagePlugin.py
+++ b/src/PIL/MicImagePlugin.py
@@ -89,6 +89,14 @@ class MicImageFile(TiffImagePlugin.TiffImageFile):
     def tell(self):
         return self.frame
 
+    def close(self):
+        self.ole.close()
+        super().close()
+
+    def __exit__(self, *args):
+        self.ole.close()
+        super().__exit__()
+
 
 #
 # --------------------------------------------------------------------