diff --git a/src/DIRAC/WorkloadManagementSystem/Agent/test/Test_Agent_JobAgent.py b/src/DIRAC/WorkloadManagementSystem/Agent/test/Test_Agent_JobAgent.py
index 11172103d04..0495fb495de 100644
--- a/src/DIRAC/WorkloadManagementSystem/Agent/test/Test_Agent_JobAgent.py
+++ b/src/DIRAC/WorkloadManagementSystem/Agent/test/Test_Agent_JobAgent.py
@@ -578,3 +578,73 @@ def test_submitAndCheckJob(mocker, localCE, job, expectedResult1, expectedResult
     # From here, taskResults should be empty
     assert jobID in jobAgent.submissionDict
     assert len(jobAgent.computingElement.taskResults) == 0
+
+
+def test_submitAndCheck2Jobs(mocker):
+    """Test the submission and the management of the job status.
+
+    This time, a first job is successfully submitted, but the second submission fails.
+    We want to make sure that both jobs are correctly managed.
+    """
+    # Mock the JobAgent
+    mocker.patch("DIRAC.WorkloadManagementSystem.Agent.JobAgent.AgentModule.__init__")
+    mocker.patch("DIRAC.WorkloadManagementSystem.Agent.JobAgent.JobAgent.am_stopExecution")
+    mocker.patch("DIRAC.WorkloadManagementSystem.Agent.JobAgent.createJobWrapper", return_value=S_OK(["jobWrapper.py"]))
+    mocker.patch("DIRAC.Core.Security.X509Chain.X509Chain.dumpAllToString", return_value=S_OK())
+    mocker.patch(
+        "DIRAC.Resources.Computing.InProcessComputingElement.InProcessComputingElement.submitJob",
+        side_effect=[S_OK(), S_ERROR("ComputingElement error")],
+    )
+
+    jobAgent = JobAgent("JobAgent", "Test")
+    jobAgent.log = gLogger.getSubLogger("JobAgent")
+    jobAgent._initializeComputingElement("InProcess")
+    jobAgent.ceName = "InProcess"
+    jobAgent.jobSubmissionDelay = 0
+
+    jobAgent.jobReport = JobReport(0)
+    mocker.patch.object(jobAgent, "jobReport", autospec=True)
+    mock_rescheduleFailedJob = mocker.patch.object(jobAgent, "_rescheduleFailedJob")
+
+    # Submit a first job: should be successful
+    jobID = "123"
+    result = jobAgent._submitJob(
+        jobID=jobID, jobParams={}, resourceParams={}, optimizerParams={}, proxyChain=X509Chain()
+    )
+    # Check that no error occurred during the submission process
+    # at the level of the JobAgent
+    assert result["OK"]
+
+    # Check that the job was added to jobAgent.submissionDict
+    assert len(jobAgent.submissionDict) == 1
+    assert jobID in jobAgent.submissionDict
+
+    # The submission is synchronous taskResults should already contain the result
+    assert len(jobAgent.computingElement.taskResults) == 1
+
+    # Check errors that could have occurred in the innerCE
+    result = jobAgent._checkSubmittedJobs()
+    assert result["OK"]
+    assert result["Value"] == ([], [])
+
+    mock_rescheduleFailedJob.assert_not_called()
+
+    # Submit a second job: should fail
+    jobID = "456"
+    result = jobAgent._submitJob(
+        jobID=jobID, jobParams={}, resourceParams={}, optimizerParams={}, proxyChain=X509Chain()
+    )
+    # Check that no error occurred during the submission process
+    # at the level of the JobAgent
+    assert result["OK"]
+
+    # Check errors that could have occurred in the innerCE
+    result = jobAgent._checkSubmittedJobs()
+    assert result["OK"]
+    assert result["Value"] == (["ComputingElement error"], [])
+
+    # Make sure that the correct job is rescheduled
+    mock_rescheduleFailedJob.assert_called_with(jobID, "ComputingElement error")
+
+    # From here, taskResults should be empty
+    assert len(jobAgent.computingElement.taskResults) == 0