diff --git a/Lib/test/test_binascii.py b/Lib/test/test_binascii.py
index f1f8b33..2764c3c 100755
--- a/Lib/test/test_binascii.py
+++ b/Lib/test/test_binascii.py
@@ -69,6 +69,10 @@
     res = res + b
 verify(res == testdata)
 
+# Test base64 with just invalid characters, which should return
+# empty strings. TBD: shouldn't it raise an exception instead ?
+verify(binascii.a2b_base64(fillers) == '')
+
 # Test uu
 print "uu test"
 MAX_UU = 45