diff --git a/docs/reference/migration/apis/data-stream-reindex.asciidoc b/docs/reference/migration/apis/data-stream-reindex.asciidoc
index 4641e0fe0911..ccaed9797972 100644
--- a/docs/reference/migration/apis/data-stream-reindex.asciidoc
+++ b/docs/reference/migration/apis/data-stream-reindex.asciidoc
@@ -21,9 +21,10 @@ from the original backing indices are copied to the resulting backing indices.
 This api runs in the background because reindexing all indices in a large data stream
 is expected to take a large amount of time and resources. The endpoint will return immediately and a persistent
 task will be created to run in the background. The current status of the task can be checked with
-the <<data-stream-reindex-status-api,reindex status API>>. This status will be available for 24 hours after the task completes, whether
-it finished successfully or failed. If the status is still available for a task, the task must be cancelled before it can be re-run.
-A running or recently completed data stream reindex task can be cancelled using the <<data-stream-reindex-cancel-api,reindex cancel API>>.
+the <<data-stream-reindex-status-api,reindex status API>>. This status will be available for 24 hours after the task
+completes, whether it finished successfully or failed. However, only the last status is retained so re-running a reindex
+will overwrite the previous status for that data stream. A running or recently completed data stream reindex task can be
+cancelled using the <<data-stream-reindex-cancel-api,reindex cancel API>>.
 
 ///////////////////////////////////////////////////////////
 [source,console]
diff --git a/x-pack/plugin/migrate/src/main/java/org/elasticsearch/xpack/migrate/action/ReindexDataStreamTransportAction.java b/x-pack/plugin/migrate/src/main/java/org/elasticsearch/xpack/migrate/action/ReindexDataStreamTransportAction.java
index a6d9adc6b4e3..15d21b79fee9 100644
--- a/x-pack/plugin/migrate/src/main/java/org/elasticsearch/xpack/migrate/action/ReindexDataStreamTransportAction.java
+++ b/x-pack/plugin/migrate/src/main/java/org/elasticsearch/xpack/migrate/action/ReindexDataStreamTransportAction.java
@@ -13,11 +13,13 @@ import org.elasticsearch.action.ActionListener;
 import org.elasticsearch.action.support.ActionFilters;
 import org.elasticsearch.action.support.HandledTransportAction;
 import org.elasticsearch.action.support.master.AcknowledgedResponse;
+import org.elasticsearch.client.internal.Client;
 import org.elasticsearch.cluster.metadata.DataStream;
 import org.elasticsearch.cluster.metadata.Metadata;
 import org.elasticsearch.cluster.service.ClusterService;
 import org.elasticsearch.core.TimeValue;
 import org.elasticsearch.injection.guice.Inject;
+import org.elasticsearch.persistent.PersistentTasksCustomMetadata;
 import org.elasticsearch.persistent.PersistentTasksService;
 import org.elasticsearch.tasks.Task;
 import org.elasticsearch.threadpool.ThreadPool;
@@ -38,13 +40,15 @@ public class ReindexDataStreamTransportAction extends HandledTransportAction<Rei
     private final PersistentTasksService persistentTasksService;
     private final TransportService transportService;
     private final ClusterService clusterService;
+    private final Client client;
 
     @Inject
     public ReindexDataStreamTransportAction(
         TransportService transportService,
         ActionFilters actionFilters,
         PersistentTasksService persistentTasksService,
-        ClusterService clusterService
+        ClusterService clusterService,
+        Client client
     ) {
         super(
             ReindexDataStreamAction.NAME,
@@ -57,6 +61,7 @@ public class ReindexDataStreamTransportAction extends HandledTransportAction<Rei
         this.transportService = transportService;
         this.persistentTasksService = persistentTasksService;
         this.clusterService = clusterService;
+        this.client = client;
     }
 
     @Override
@@ -78,6 +83,40 @@ public class ReindexDataStreamTransportAction extends HandledTransportAction<Rei
             ClientHelper.getPersistableSafeSecurityHeaders(transportService.getThreadPool().getThreadContext(), clusterService.state())
         );
         String persistentTaskId = getPersistentTaskId(sourceDataStreamName);
+
+        PersistentTasksCustomMetadata persistentTasksCustomMetadata = clusterService.state()
+            .getMetadata()
+            .custom(PersistentTasksCustomMetadata.TYPE);
+        PersistentTasksCustomMetadata.PersistentTask<?> persistentTask = persistentTasksCustomMetadata.getTask(persistentTaskId);
+
+        if (persistentTask == null) {
+            startTask(listener, persistentTaskId, params);
+        } else {
+            GetMigrationReindexStatusAction.Request statusRequest = new GetMigrationReindexStatusAction.Request(sourceDataStreamName);
+            statusRequest.setParentTask(task.getParentTaskId());
+            client.execute(
+                GetMigrationReindexStatusAction.INSTANCE,
+                statusRequest,
+                listener.delegateFailureAndWrap((getListener, getResponse) -> {
+                    if (getResponse.getEnrichedStatus().complete() == false) {
+                        throw new ResourceAlreadyExistsException("Reindex task for data stream [{}] already exists", sourceDataStreamName);
+                    }
+                    CancelReindexDataStreamAction.Request cancelRequest = new CancelReindexDataStreamAction.Request(sourceDataStreamName);
+                    cancelRequest.setParentTask(task.getParentTaskId());
+                    client.execute(
+                        CancelReindexDataStreamAction.INSTANCE,
+                        cancelRequest,
+                        getListener.delegateFailureAndWrap(
+                            (cancelListener, cancelResponse) -> startTask(cancelListener, persistentTaskId, params)
+                        )
+                    );
+                })
+            );
+        }
+
+    }
+
+    private void startTask(ActionListener<AcknowledgedResponse> listener, String persistentTaskId, ReindexDataStreamTaskParams params) {
         persistentTasksService.sendStartRequest(
             persistentTaskId,
             ReindexDataStreamTask.TASK_NAME,
diff --git a/x-pack/qa/rolling-upgrade/src/test/java/org/elasticsearch/upgrades/DataStreamsUpgradeIT.java b/x-pack/qa/rolling-upgrade/src/test/java/org/elasticsearch/upgrades/DataStreamsUpgradeIT.java
index a156e571b6ce..1d320f97a41a 100644
--- a/x-pack/qa/rolling-upgrade/src/test/java/org/elasticsearch/upgrades/DataStreamsUpgradeIT.java
+++ b/x-pack/qa/rolling-upgrade/src/test/java/org/elasticsearch/upgrades/DataStreamsUpgradeIT.java
@@ -623,6 +623,11 @@ public class DataStreamsUpgradeIT extends AbstractUpgradeTestCase {
                     assertThat(statusResponseString, ((List<Object>) statusResponseMap.get("errors")).size(), equalTo(expectedErrorCount));
                 }
             }, 60, TimeUnit.SECONDS);
+
+            // Verify it's possible to reindex again after a successful reindex
+            reindexResponse = upgradeUserClient.performRequest(reindexRequest);
+            assertOK(reindexResponse);
+
             Request cancelRequest = new Request("POST", "_migration/reindex/" + dataStreamName + "/_cancel");
             Response cancelResponse = upgradeUserClient.performRequest(cancelRequest);
             assertOK(cancelResponse);