diff --git a/PIL/Image.py b/PIL/Image.py
index c0515d378..dca76bb01 100644
--- a/PIL/Image.py
+++ b/PIL/Image.py
@@ -2207,10 +2207,14 @@ _fromarray_typemap = {
     # ((1, 1), "|b1"): ("1", "1"), # broken
     ((1, 1), "|u1"): ("L", "L"),
     ((1, 1), "|i1"): ("I", "I;8"),
-    ((1, 1), "<i2"): ("I", "I;16"),
-    ((1, 1), ">i2"): ("I", "I;16B"),
-    ((1, 1), "<i4"): ("I", "I;32"),
-    ((1, 1), ">i4"): ("I", "I;32B"),
+    ((1, 1), "<u2"): ("I", "I;16"),
+    ((1, 1), ">u2"): ("I", "I;16B"),
+    ((1, 1), "<i2"): ("I", "I;16S"),
+    ((1, 1), ">i2"): ("I", "I;16BS"),
+    ((1, 1), "<u4"): ("I", "I;32"),
+    ((1, 1), ">u4"): ("I", "I;32B"),
+    ((1, 1), "<i4"): ("I", "I;32S"),
+    ((1, 1), ">i4"): ("I", "I;32BS"),
     ((1, 1), "<f4"): ("F", "F;32F"),
     ((1, 1), ">f4"): ("F", "F;32BF"),
     ((1, 1), "<f8"): ("F", "F;64F"),
diff --git a/Tests/test_numpy.py b/Tests/test_numpy.py
index 27cbbb7ca..041609517 100644
--- a/Tests/test_numpy.py
+++ b/Tests/test_numpy.py
@@ -55,19 +55,28 @@ class TestNumpy(PillowTestCase):
         self.assert_image(to_image(numpy.int8), "I", TestNumpy.TEST_IMAGE_SIZE)
 
         # Check non-fixed-size integer types
-        self.assertRaises(TypeError, lambda: to_image(numpy.uint))
+        self.assert_image(to_image(numpy.uint), "I", TestNumpy.TEST_IMAGE_SIZE)
         self.assert_image(to_image(numpy.int), "I", TestNumpy.TEST_IMAGE_SIZE)
 
         # Check 16-bit integer formats
         if Image._ENDIAN == '<':
-            self.assert_image(to_image(numpy.uint16), "I;16L", TestNumpy.TEST_IMAGE_SIZE)
+            self.assert_image(to_image(numpy.uint16), "I;16", TestNumpy.TEST_IMAGE_SIZE)
         else:
             self.assert_image(to_image(numpy.uint16), "I;16B", TestNumpy.TEST_IMAGE_SIZE)
-        self.assertRaises(TypeError, lambda: to_image(numpy.int16))
+        if Image._ENDIAN == '<':
+            self.assert_image(to_image(numpy.int16), "I;16S", TestNumpy.TEST_IMAGE_SIZE)
+        else:
+            self.assert_image(to_image(numpy.int16), "I;16BS", TestNumpy.TEST_IMAGE_SIZE)
 
         # Check 32-bit integer formats
-        self.assertRaises(TypeError, lambda: to_image(numpy.uint32))
-        self.assert_image(to_image(numpy.int32), "I", TestNumpy.TEST_IMAGE_SIZE)
+        if Image._ENDIAN == '<':
+            self.assert_image(to_image(numpy.uint32), "I;32", TestNumpy.TEST_IMAGE_SIZE)
+        else:
+            self.assert_image(to_image(numpy.uint32), "I;32B", TestNumpy.TEST_IMAGE_SIZE)
+        if Image._ENDIAN == '<':
+            self.assert_image(to_image(numpy.int32), "I;32S", TestNumpy.TEST_IMAGE_SIZE)
+        else:
+            self.assert_image(to_image(numpy.int32), "I;32BS", TestNumpy.TEST_IMAGE_SIZE)
 
         # Check 64-bit integer formats
         self.assertRaises(TypeError, lambda: to_image(numpy.uint64))