diff --git a/Tests/test_image_convert.py b/Tests/test_image_convert.py
index fd3d39bc5..d3bdb519c 100644
--- a/Tests/test_image_convert.py
+++ b/Tests/test_image_convert.py
@@ -46,5 +46,13 @@ def test_16bit_workaround():
     im = Image.open('Tests/images/16bit.cropped.tif')
     _test_float_conversion(im.convert('I'))
     
+def test_rgba_p():
+    im = lena('RGBA')
+    im.putalpha(lena('L'))
 
+    converted = im.convert('P')
+    comparable = converted.convert('RGBA')
+
+    assert_image_similar(im, comparable, 20)
+               
     
diff --git a/Tests/test_image_quantize.py b/Tests/test_image_quantize.py
index 70b5eb503..dbf68a25e 100644
--- a/Tests/test_image_quantize.py
+++ b/Tests/test_image_quantize.py
@@ -19,4 +19,9 @@ def test_octree_quantize():
     im = im.quantize(100, Image.FASTOCTREE)
     assert_image(im, "P", im.size)
 
-    assert len(im.getcolors()) == 100
\ No newline at end of file
+    assert len(im.getcolors()) == 100
+
+def test_rgba_quantize():
+    im = lena('RGBA')
+    assert_no_exception(lambda: im.quantize())
+    assert_exception(Exception, lambda: im.quantize(method=0))