Backported r51621 from p3yk:

Don't use a fixed temporary name (gdbm).
Don't use our own temp name creation (dbm).
Should be backported to 2.5.
diff --git a/Lib/test/test_dbm.py b/Lib/test/test_dbm.py
index e5757c9..b93e72e 100755
--- a/Lib/test/test_dbm.py
+++ b/Lib/test/test_dbm.py
@@ -6,11 +6,11 @@
 import random
 import dbm
 from dbm import error
-from test.test_support import verbose, verify, TestSkipped
+from test.test_support import verbose, verify, TestSkipped, TESTFN
 
 # make filename unique to allow multiple concurrent tests
 # and to minimize the likelihood of a problem from an old file
-filename = '/tmp/delete_me_' + str(random.random())[-6:]
+filename = TESTFN
 
 def cleanup():
     for suffix in ['', '.pag', '.dir', '.db']: