diff --git a/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractDozeModeTestCase.java b/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractDozeModeTestCase.java
index c2dce38035..f20f1d1c4d 100644
--- a/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractDozeModeTestCase.java
+++ b/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractDozeModeTestCase.java
@@ -129,7 +129,7 @@ abstract class AbstractDozeModeTestCase extends AbstractRestrictBackgroundNetwor
 
     public void testBackgroundNetworkAccess_enabledButWhitelistedOnNotificationAction()
             throws Exception {
-        if (!isSupported()) return;
+        if (!isSupported() || isLowRamDevice()) return;
 
         setPendingIntentWhitelistDuration(NETWORK_TIMEOUT_MS);
         try {
diff --git a/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractRestrictBackgroundNetworkTestCase.java b/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractRestrictBackgroundNetworkTestCase.java
index 1c46396903..ce56d25440 100644
--- a/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractRestrictBackgroundNetworkTestCase.java
+++ b/tests/cts/hostside/app/src/com/android/cts/net/hostside/AbstractRestrictBackgroundNetworkTestCase.java
@@ -26,6 +26,7 @@ import java.util.concurrent.CountDownLatch;
 import java.util.concurrent.LinkedBlockingQueue;
 import java.util.concurrent.TimeUnit;
 
+import android.app.ActivityManager;
 import android.app.Instrumentation;
 import android.app.NotificationManager;
 import android.content.BroadcastReceiver;
@@ -476,6 +477,12 @@ abstract class AbstractRestrictBackgroundNetworkTestCase extends Instrumentation
         return errors.toString();
     }
 
+    protected boolean isLowRamDevice() {
+        final ActivityManager am = (ActivityManager) mContext.getSystemService(
+            Context.ACTIVITY_SERVICE);
+        return am.isLowRamDevice();
+    }
+
     protected String executeShellCommand(String command) throws Exception {
         final String result = runShellCommand(mInstrumentation, command).trim();
         if (DEBUG) Log.d(TAG, "Command '" + command + "' returned '" + result + "'");