diff --git a/Tests/test_file_icns.py b/Tests/test_file_icns.py
index 92fe136f2..376124d19 100644
--- a/Tests/test_file_icns.py
+++ b/Tests/test_file_icns.py
@@ -4,6 +4,12 @@ from PIL import Image
 
 import sys
 
+# The the default version of PyPy in Trusty is PyPy 5.4.1.
+# There is a known error in it: TypeError: PyPy does not yet implement the new buffer interface (issue #2163).
+
+SKIP_5_4_1_PYPY = hasattr(sys, 'pypy_version_info') and (
+    sys.pypy_version_info >= (5, 4, 1, 'final', 0))
+
 # sample icon file
 TEST_FILE = "Tests/images/pillow.icns"
 
@@ -61,6 +67,7 @@ class TestFileIcns(PillowTestCase):
             self.assertEqual(im2.mode, 'RGBA')
             self.assertEqual(im2.size, (wr, hr))
 
+    @unittest.skipIf(SKIP_5_4_1_PYPY, "PyPy does not yet implement the new buffer interface")
     def test_jp2_icon(self):
         # This icon was made by using Uli Kusterer's oldiconutil to replace
         # the PNG images with JPEG 2000 ones.  The advantage of doing this is