diff --git a/Misc/build.sh b/Misc/build.sh
index 2c954030070..d598831eebc 100755
--- a/Misc/build.sh
+++ b/Misc/build.sh
@@ -55,12 +55,19 @@ INSTALL_DIR="/tmp/python-test/local"
 RSYNC_OPTS="-aC -e ssh"
 
 REFLOG="build/reflog.txt.out"
-# These tests are not stable and often falsely report leaks.
+# These tests are not stable and falsely report leaks sometimes.
 # The entire leak report will be mailed if any test not in this list leaks.
 # Note: test_XXX (none currently) really leak, but are disabled
 # so we don't send spam.  Any test which really leaks should only 
 # be listed here if there are also test cases under Lib/test/leakers.
-LEAKY_TESTS="test_(capi|cfgparser|charmapcodec|cmd_line|compiler|ctypes|filecmp|quopri|socket|threaded_import|threadedtempfile|threading|threading_local)"
+LEAKY_TESTS="test_(cmd_line|ctypes|filecmp|socket|threadedtempfile|threading|threading_local|urllib2)"
+
+# Skip these tests altogether when looking for leaks.  These tests
+# do not need to be stored above in LEAKY_TESTS too.
+# test_compiler almost never finishes with the same number of refs
+# since it depends on other modules, skip it.
+# test_logging causes hangs, skip it.
+LEAKY_SKIPS="-x test_compiler test_logging"
 
 # Change this flag to "yes" for old releases to only update/build the docs.
 BUILD_DISABLED="no"
@@ -160,7 +167,7 @@ if [ $err = 0 -a "$BUILD_DISABLED" != "yes" ]; then
             ## run the tests looking for leaks
             F=make-test-refleak.out
             start=`current_time`
-            ./python ./Lib/test/regrtest.py -R 4:3:$REFLOG -u network >& build/$F
+            ./python ./Lib/test/regrtest.py -R 4:3:$REFLOG -u network $LEAKY_SKIPS >& build/$F
             NUM_FAILURES=`egrep -vc "$LEAKY_TESTS" $REFLOG`
             update_status "Testing refleaks ($NUM_FAILURES failures)" "$F" $start
             mail_on_failure "refleak" $REFLOG