diff --git a/guava-tests/test/com/google/common/util/concurrent/ListeningExecutorServiceTest.java b/guava-tests/test/com/google/common/util/concurrent/ListeningExecutorServiceTest.java
new file mode 100644
index 000000000000..1b1bcb6794bf
--- /dev/null
+++ b/guava-tests/test/com/google/common/util/concurrent/ListeningExecutorServiceTest.java
@@ -0,0 +1,135 @@
+/*
+ * Copyright (C) 2020 The Guava Authors
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package com.google.common.util.concurrent;
+
+import static com.google.common.truth.Truth.assertThat;
+import static com.google.common.util.concurrent.Futures.immediateFailedFuture;
+import static com.google.common.util.concurrent.Futures.immediateFuture;
+import static java.util.concurrent.TimeUnit.NANOSECONDS;
+
+import java.time.Duration;
+import java.util.Collection;
+import java.util.Collections;
+import java.util.List;
+import java.util.Set;
+import java.util.concurrent.Callable;
+import java.util.concurrent.ExecutionException;
+import java.util.concurrent.Future;
+import java.util.concurrent.TimeUnit;
+import java.util.concurrent.TimeoutException;
+import junit.framework.TestCase;
+
+public final class ListeningExecutorServiceTest extends TestCase {
+
+  private Collection<? extends Callable<?>> recordedTasks;
+  private long recordedTimeout;
+  private TimeUnit recordedTimeUnit;
+
+  private final ListeningExecutorService executorService = new FakeExecutorService();
+
+  public void testInvokeAny() throws Exception {
+    Set<Callable<String>> tasks = Collections.singleton(() -> "invokeAny");
+
+    String result = executorService.invokeAny(tasks, Duration.ofSeconds(7));
+
+    assertThat(result).isEqualTo("invokeAny");
+    assertThat(recordedTasks).isSameInstanceAs(tasks);
+    assertThat(recordedTimeUnit).isEqualTo(NANOSECONDS);
+    assertThat(Duration.ofNanos(recordedTimeout)).isEqualTo(Duration.ofSeconds(7));
+  }
+
+  public void testInvokeAll() throws Exception {
+    Set<Callable<String>> tasks = Collections.singleton(() -> "invokeAll");
+
+    List<Future<String>> result = executorService.invokeAll(tasks, Duration.ofDays(365));
+
+    assertThat(result).hasSize(1);
+    assertThat(Futures.getDone(result.get(0))).isEqualTo("invokeAll");
+    assertThat(recordedTasks).isSameInstanceAs(tasks);
+    assertThat(recordedTimeUnit).isEqualTo(NANOSECONDS);
+    assertThat(Duration.ofNanos(recordedTimeout)).isEqualTo(Duration.ofDays(365));
+  }
+
+  public void testAwaitTermination() throws Exception {
+    boolean result = executorService.awaitTermination(Duration.ofMinutes(144));
+
+    assertThat(result).isTrue();
+    assertThat(recordedTimeUnit).isEqualTo(NANOSECONDS);
+    assertThat(Duration.ofNanos(recordedTimeout)).isEqualTo(Duration.ofMinutes(144));
+  }
+
+  private class FakeExecutorService extends AbstractListeningExecutorService {
+    @Override
+    public <T> T invokeAny(Collection<? extends Callable<T>> tasks, long timeout, TimeUnit unit)
+        throws InterruptedException, ExecutionException, TimeoutException {
+      recordedTasks = tasks;
+      recordedTimeout = timeout;
+      recordedTimeUnit = unit;
+      try {
+        return tasks.iterator().next().call();
+      } catch (Exception e) {
+        throw new ExecutionException(e);
+      }
+    }
+
+    @Override
+    public <T> List<Future<T>> invokeAll(
+        Collection<? extends Callable<T>> tasks, long timeout, TimeUnit unit)
+        throws InterruptedException {
+      recordedTasks = tasks;
+      recordedTimeout = timeout;
+      recordedTimeUnit = unit;
+      try {
+        return Collections.singletonList(immediateFuture(tasks.iterator().next().call()));
+      } catch (Exception e) {
+        return Collections.singletonList(immediateFailedFuture(e));
+      }
+    }
+
+    @Override
+    public boolean awaitTermination(long timeout, TimeUnit unit) {
+      recordedTimeout = timeout;
+      recordedTimeUnit = unit;
+      return true;
+    }
+
+    @Override
+    public void execute(Runnable runnable) {
+      throw new UnsupportedOperationException();
+    }
+
+    @Override
+    public void shutdown() {
+      throw new UnsupportedOperationException();
+    }
+
+    @Override
+    public List<Runnable> shutdownNow() {
+      throw new UnsupportedOperationException();
+    }
+
+    @Override
+    public boolean isShutdown() {
+      throw new UnsupportedOperationException();
+    }
+
+    @Override
+    public boolean isTerminated() {
+      throw new UnsupportedOperationException();
+    }
+  }
+}
diff --git a/guava/src/com/google/common/util/concurrent/ListeningExecutorService.java b/guava/src/com/google/common/util/concurrent/ListeningExecutorService.java
index 83ea759f8e74..e5089124c5d7 100644
--- a/guava/src/com/google/common/util/concurrent/ListeningExecutorService.java
+++ b/guava/src/com/google/common/util/concurrent/ListeningExecutorService.java
@@ -14,15 +14,21 @@
 
 package com.google.common.util.concurrent;
 
+import static com.google.common.util.concurrent.Internal.toNanosSaturated;
+
 import com.google.common.annotations.GwtIncompatible;
+import com.google.common.annotations.J2ktIncompatible;
 import com.google.errorprone.annotations.DoNotMock;
+import java.time.Duration;
 import java.util.Collection;
 import java.util.List;
 import java.util.concurrent.Callable;
+import java.util.concurrent.ExecutionException;
 import java.util.concurrent.ExecutorService;
 import java.util.concurrent.Future;
 import java.util.concurrent.RejectedExecutionException;
 import java.util.concurrent.TimeUnit;
+import java.util.concurrent.TimeoutException;
 import org.checkerframework.checker.nullness.qual.Nullable;
 
 /**
@@ -106,4 +112,37 @@ public interface ListeningExecutorService extends ExecutorService {
   <T extends @Nullable Object> List<Future<T>> invokeAll(
       Collection<? extends Callable<T>> tasks, long timeout, TimeUnit unit)
       throws InterruptedException;
+
+  /**
+   * Duration-based overload of {@link #invokeAll(Collection, long, TimeUnit)}.
+   *
+   * @since NEXT
+   */
+  @J2ktIncompatible
+  default <T extends @Nullable Object> List<Future<T>> invokeAll(
+      Collection<? extends Callable<T>> tasks, Duration timeout) throws InterruptedException {
+    return invokeAll(tasks, toNanosSaturated(timeout), TimeUnit.NANOSECONDS);
+  }
+
+  /**
+   * Duration-based overload of {@link #invokeAny(Collection, long, TimeUnit)}.
+   *
+   * @since NEXT
+   */
+  @J2ktIncompatible
+  default <T extends @Nullable Object> T invokeAny(
+      Collection<? extends Callable<T>> tasks, Duration timeout)
+      throws InterruptedException, ExecutionException, TimeoutException {
+    return invokeAny(tasks, toNanosSaturated(timeout), TimeUnit.NANOSECONDS);
+  }
+
+  /**
+   * Duration-based overload of {@link #awaitTermination(long, TimeUnit)}.
+   *
+   * @since NEXT
+   */
+  @J2ktIncompatible
+  default boolean awaitTermination(Duration timeout) throws InterruptedException {
+    return awaitTermination(toNanosSaturated(timeout), TimeUnit.NANOSECONDS);
+  }
 }