diff --git a/Lib/test/test_binhex.py b/Lib/test/test_binhex.py
index 86ca37ce1b9..859553222a3 100644
--- a/Lib/test/test_binhex.py
+++ b/Lib/test/test_binhex.py
@@ -7,7 +7,7 @@ import unittest
 from test import support
 
 with support.check_warnings(('', DeprecationWarning)):
-    import binhex
+    binhex = support.import_fresh_module('binhex')
 
 
 class BinHexTestCase(unittest.TestCase):
diff --git a/Misc/NEWS.d/next/Tests/2020-06-09-18-48-18.bpo-40927.67ylLg.rst b/Misc/NEWS.d/next/Tests/2020-06-09-18-48-18.bpo-40927.67ylLg.rst
new file mode 100644
index 00000000000..66209b84c94
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2020-06-09-18-48-18.bpo-40927.67ylLg.rst
@@ -0,0 +1,2 @@
+Fix test_binhex when run twice: it now uses import_fresh_module() to ensure
+that it raises DeprecationWarning each time.