diff --git a/Lib/test/test_bytes.py b/Lib/test/test_bytes.py
index 32cd178fa3b..7bb1ab38aa4 100644
--- a/Lib/test/test_bytes.py
+++ b/Lib/test/test_bytes.py
@@ -464,6 +464,10 @@ class BaseBytesTest:
             with self.assertRaises(ValueError) as cm:
                 self.type2test.fromhex(value)
             self.assertIn("fromhex() arg must contain an even number of hexadecimal digits", str(cm.exception))
+        for value, position in (("a ", 1), (" aa a ", 5), (" aa a a ", 5)):
+            with self.assertRaises(ValueError) as cm:
+                self.type2test.fromhex(value)
+            self.assertIn(f"non-hexadecimal number found in fromhex() arg at position {position}", str(cm.exception))
 
         for data, pos in (
             # invalid first hexadecimal character