diff --git a/Lib/test/test_array.py b/Lib/test/test_array.py
index 5de562f19e5..d8d4ea79c5c 100755
--- a/Lib/test/test_array.py
+++ b/Lib/test/test_array.py
@@ -326,6 +326,17 @@ class BaseTest(unittest.TestCase):
                 f.close()
             support.unlink(support.TESTFN)
 
+    def test_fromfile_ioerror(self):
+        # Issue #5395: Check if fromfile raises a proper IOError
+        # instead of EOFError.
+        a = array.array(self.typecode)
+        f = open(support.TESTFN, 'wb')
+        try:
+            self.assertRaises(IOError, a.fromfile, f, len(self.example))
+        finally:
+            f.close()
+            support.unlink(support.TESTFN)
+
     def test_filewrite(self):
         a = array.array(self.typecode, 2*self.example)
         f = open(support.TESTFN, 'wb')