diff --git a/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDaemon.java b/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDaemon.java
index 202d77e..9606371 100644
--- a/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDaemon.java
+++ b/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDaemon.java
@@ -26,6 +26,7 @@
 import com.google.gerrit.extensions.api.changes.NotifyHandling;
 import com.google.gerrit.extensions.events.ProjectDeletedListener;
 import com.google.gerrit.server.config.SitePaths;
+import com.google.gerrit.server.git.LocalDiskRepositoryManager;
 import com.google.inject.Inject;
 import java.io.IOException;
 import java.nio.file.Path;
@@ -71,6 +72,18 @@
   protected Path gitPath;
   protected FileBasedConfig config;
 
+  protected void setDistributionInterval(int interval) throws IOException {
+    config.setInt("replication", null, "distributionInterval", interval);
+    config.save();
+  }
+
+  protected String getProjectUri(Project.NameKey project) throws Exception {
+    return ((LocalDiskRepositoryManager) repoManager)
+        .getBasePath(project)
+        .resolve(project.get() + ".git")
+        .toString();
+  }
+
   protected void setReplicationDestination(
       String remoteName, String replicaSuffix, Optional<String> project) throws IOException {
     setReplicationDestination(
diff --git a/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDistributorIT.java b/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDistributorIT.java
new file mode 100644
index 0000000..5674732
--- /dev/null
+++ b/src/test/java/com/googlesource/gerrit/plugins/replication/ReplicationDistributorIT.java
@@ -0,0 +1,109 @@
+// Copyright (C) 2021 The Android Open Source Project
+//
+// 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.googlesource.gerrit.plugins.replication;
+
+import static com.google.common.truth.Truth.assertThat;
+
+import com.google.gerrit.acceptance.TestPlugin;
+import com.google.gerrit.acceptance.UseLocalDisk;
+import com.google.gerrit.acceptance.WaitUtil;
+import com.google.gerrit.entities.Project;
+import com.google.gerrit.server.git.WorkQueue;
+import java.time.Duration;
+import java.util.List;
+import java.util.stream.Collectors;
+import org.eclipse.jgit.lib.Ref;
+import org.eclipse.jgit.lib.RefUpdate;
+import org.eclipse.jgit.lib.Repository;
+import org.eclipse.jgit.transport.URIish;
+import org.junit.Test;
+
+/**
+ * The tests in this class ensure the correctness of {@link
+ * com.googlesource.gerrit.plugins.replication.ReplicationQueue.Distributor}
+ */
+@UseLocalDisk
+@TestPlugin(
+    name = "replication",
+    sysModule = "com.googlesource.gerrit.plugins.replication.ReplicationModule")
+public class ReplicationDistributorIT extends ReplicationStorageDaemon {
+  private static final int TEST_DISTRIBUTION_INTERVAL_SECONDS = 3;
+  private static final int TEST_DISTRIBUTION_DURATION_SECONDS = 1;
+  private static final int TEST_DISTRIBUTION_CYCLE_SECONDS =
+      TEST_DISTRIBUTION_INTERVAL_SECONDS + TEST_DISTRIBUTION_DURATION_SECONDS;
+
+  @Override
+  public void setUpTestPlugin() throws Exception {
+    initConfig();
+    setDistributionInterval(TEST_DISTRIBUTION_INTERVAL_SECONDS);
+    super.setUpTestPlugin();
+  }
+
+  @Test
+  public void distributorAddingTaskFromStorage() throws Exception {
+    String remote = "foo";
+    String replica = "replica";
+    String master = "refs/heads/master";
+    String newBranch = "refs/heads/foo_branch";
+    Project.NameKey targetProject = createTestProject(project + replica);
+    ReplicationTasksStorage.ReplicateRefUpdate ref =
+        ReplicationTasksStorage.ReplicateRefUpdate.create(
+            project.get(), newBranch, new URIish(getProjectUri(targetProject)), remote);
+    createBranch(project, master, newBranch);
+    setReplicationDestination(remote, replica, ALL_PROJECTS);
+    reloadConfig();
+
+    tasksStorage.create(ref); // Mimics RefUpdate inserted into storage by other Primary
+    WaitUtil.waitUntil(
+        () -> getProjectTasks().size() != 0, Duration.ofSeconds(TEST_DISTRIBUTION_CYCLE_SECONDS));
+
+    List<WorkQueue.Task<?>> tasks = getProjectTasks();
+    assertThat(tasks).hasSize(1); // ReplicationTask for the created ref in queue
+    assertThat(waitForProjectTaskCount(0, TEST_PUSH_TIMEOUT)).isTrue();
+
+    try (Repository targetRepo = repoManager.openRepository(targetProject);
+        Repository sourceRepo = repoManager.openRepository(project)) {
+      Ref masterRef = getRef(sourceRepo, master);
+      Ref targetBranchRef = getRef(targetRepo, newBranch);
+      assertThat(targetBranchRef).isNotNull();
+      assertThat(targetBranchRef.getObjectId()).isEqualTo(masterRef.getObjectId());
+    }
+  }
+
+  private List<WorkQueue.Task<?>> getProjectTasks() {
+    return getInstance(WorkQueue.class).getTasks().stream()
+        .filter(t -> t instanceof WorkQueue.ProjectTask)
+        .collect(Collectors.toList());
+  }
+
+  private void createBranch(Project.NameKey project, String fromRef, String refToCreate)
+      throws Exception {
+    try (Repository repo = repoManager.openRepository(project)) {
+      Ref from = repo.exactRef(fromRef);
+      RefUpdate createBranch = repo.updateRef(refToCreate);
+      createBranch.setNewObjectId(from.getObjectId());
+      createBranch.update();
+    }
+  }
+
+  private boolean waitForProjectTaskCount(int count, Duration duration) {
+    try {
+      WaitUtil.waitUntil(() -> getProjectTasks().size() == count, duration);
+      return true;
+    } catch (InterruptedException e) {
+      return false;
+    }
+  }
+}