diff --git a/tools/valgrind-webrtc/gtest_exclude/rtc_unittests.gtest-memcheck.txt b/tools/valgrind-webrtc/gtest_exclude/rtc_unittests.gtest-memcheck.txt
index 72a0c29442..b5e4c703bd 100644
--- a/tools/valgrind-webrtc/gtest_exclude/rtc_unittests.gtest-memcheck.txt
+++ b/tools/valgrind-webrtc/gtest_exclude/rtc_unittests.gtest-memcheck.txt
@@ -1,6 +1,3 @@
-# Fails when run under memcheck
-# https://code.google.com/p/webrtc/issues/detail?id=1976
-PhysicalSocketTest.TestUdpReadyToSendIPv4
 ThreadTest.Release
 # TODO(wu): Reenable P2PTransportChannelTest after issue 2158 is resolved.
 P2PTransportChannelTest.*
diff --git a/tools/valgrind-webrtc/gtest_exclude/webrtc_nonparallel_tests.gtest-memcheck.txt b/tools/valgrind-webrtc/gtest_exclude/webrtc_nonparallel_tests.gtest-memcheck.txt
new file mode 100644
index 0000000000..27451a8f8d
--- /dev/null
+++ b/tools/valgrind-webrtc/gtest_exclude/webrtc_nonparallel_tests.gtest-memcheck.txt
@@ -0,0 +1,5 @@
+# Fails when run under memcheck
+# https://code.google.com/p/webrtc/issues/detail?id=1976
+PhysicalSocketTest.TestUdpReadyToSendIPv4
+PhysicalSocketTest.TestUdpIPv4
+PhysicalSocketTest.TestSocketRecvTimestampIPv4