diff --git a/docs/reference/data-frames/apis/put-transform.asciidoc b/docs/reference/data-frames/apis/put-transform.asciidoc
index abc5779e12a88..39df759c9249b 100644
--- a/docs/reference/data-frames/apis/put-transform.asciidoc
+++ b/docs/reference/data-frames/apis/put-transform.asciidoc
@@ -110,7 +110,7 @@ PUT _data_frame/transforms/ecommerce_transform
 }
 --------------------------------------------------
 // CONSOLE
-// TEST[skip: https://github.com/elastic/elasticsearch/issues/43271]
+// TEST[setup:kibana_sample_data_ecommerce]
 
 When the transform is created, you receive the following results:
 [source,js]
diff --git a/docs/reference/ml/apis/put-job.asciidoc b/docs/reference/ml/apis/put-job.asciidoc
index ea92bf94d695c..d48daff84be65 100644
--- a/docs/reference/ml/apis/put-job.asciidoc
+++ b/docs/reference/ml/apis/put-job.asciidoc
@@ -116,7 +116,6 @@ PUT _ml/anomaly_detectors/total-requests
 }
 --------------------------------------------------
 // CONSOLE
-// TEST[skip: https://github.com/elastic/elasticsearch/issues/43271]
 
 When the job is created, you receive the following results:
 [source,js]
diff --git a/docs/src/test/java/org/elasticsearch/smoketest/DocsClientYamlTestSuiteIT.java b/docs/src/test/java/org/elasticsearch/smoketest/DocsClientYamlTestSuiteIT.java
index e87df16264e94..ffdabd6d63399 100644
--- a/docs/src/test/java/org/elasticsearch/smoketest/DocsClientYamlTestSuiteIT.java
+++ b/docs/src/test/java/org/elasticsearch/smoketest/DocsClientYamlTestSuiteIT.java
@@ -33,6 +33,7 @@
 import org.elasticsearch.common.xcontent.XContentLocation;
 import org.elasticsearch.common.xcontent.XContentParser;
 import org.elasticsearch.common.xcontent.XContentParser.Token;
+import org.elasticsearch.test.rest.ESRestTestCase;
 import org.elasticsearch.test.rest.yaml.ClientYamlDocsTestClient;
 import org.elasticsearch.test.rest.yaml.ClientYamlTestCandidate;
 import org.elasticsearch.test.rest.yaml.ClientYamlTestClient;
@@ -41,6 +42,7 @@
 import org.elasticsearch.test.rest.yaml.ESClientYamlSuiteTestCase;
 import org.elasticsearch.test.rest.yaml.restspec.ClientYamlSuiteRestSpec;
 import org.elasticsearch.test.rest.yaml.section.ExecutableSection;
+import org.junit.After;
 
 import java.io.IOException;
 import java.util.ArrayList;
@@ -97,6 +99,23 @@ protected ClientYamlTestClient initClientYamlTestClient(
         return new ClientYamlDocsTestClient(restSpec, restClient, hosts, esVersion, masterVersion, this::getClientBuilderWithSniffedHosts);
     }
 
+    @After
+    public void cleanup() throws Exception {
+        if (isMachineLearningTest() || isDataFrameTest()) {
+            ESRestTestCase.waitForPendingTasks(adminClient());
+        }
+    }
+
+    protected boolean isMachineLearningTest() {
+        String testName = getTestName();
+        return testName != null && (testName.contains("/ml/") || testName.contains("\\ml\\"));
+    }
+
+    protected boolean isDataFrameTest() {
+        String testName = getTestName();
+        return testName != null && (testName.contains("/data-frames/") || testName.contains("\\data-frames\\"));
+    }
+
     /**
      * Compares the results of running two analyzers against many random
      * strings. The goal is to figure out if two anlayzers are "the same" by