diff --git a/airflow/providers/amazon/aws/hooks/glue.py b/airflow/providers/amazon/aws/hooks/glue.py
index cbdb6575663fd..309955b94d368 100644
--- a/airflow/providers/amazon/aws/hooks/glue.py
+++ b/airflow/providers/amazon/aws/hooks/glue.py
@@ -100,22 +100,16 @@ def __init__(
         super().__init__(*args, **kwargs)
 
     def create_glue_job_config(self) -> dict:
-        if self.s3_bucket is None:
-            raise ValueError("Could not initialize glue job, error: Specify Parameter `s3_bucket`")
-
         default_command = {
             "Name": "glueetl",
             "ScriptLocation": self.script_location,
         }
         command = self.create_job_kwargs.pop("Command", default_command)
-
-        s3_log_path = f"s3://{self.s3_bucket}/{self.s3_glue_logs}{self.job_name}"
         execution_role = self.get_iam_execution_role()
 
-        ret_config = {
+        config = {
             "Name": self.job_name,
             "Description": self.desc,
-            "LogUri": s3_log_path,
             "Role": execution_role["Role"]["Arn"],
             "ExecutionProperty": {"MaxConcurrentRuns": self.concurrent_run_limit},
             "Command": command,
@@ -124,9 +118,12 @@ def create_glue_job_config(self) -> dict:
         }
 
         if hasattr(self, "num_of_dpus"):
-            ret_config["MaxCapacity"] = self.num_of_dpus
+            config["MaxCapacity"] = self.num_of_dpus
+
+        if self.s3_bucket is not None:
+            config["LogUri"] = f"s3://{self.s3_bucket}/{self.s3_glue_logs}{self.job_name}"
 
-        return ret_config
+        return config
 
     def list_jobs(self) -> list:
         """
diff --git a/tests/providers/amazon/aws/hooks/test_glue.py b/tests/providers/amazon/aws/hooks/test_glue.py
index 4c64728dc81fc..b542d797c9f24 100644
--- a/tests/providers/amazon/aws/hooks/test_glue.py
+++ b/tests/providers/amazon/aws/hooks/test_glue.py
@@ -136,6 +136,54 @@ class JobNotFoundException(Exception):
         mock_get_conn.return_value.update_job.assert_not_called()
         assert result == expected_job_name
 
+    @mock.patch.object(GlueJobHook, "get_iam_execution_role")
+    @mock.patch.object(GlueJobHook, "get_conn")
+    def test_create_or_update_glue_job_create_new_job_without_s3_bucket(
+        self, mock_get_conn, mock_get_iam_execution_role
+    ):
+        """
+        Calls 'create_or_update_glue_job' with no existing job.
+        Should create a new job.
+        """
+
+        class JobNotFoundException(Exception):
+            pass
+
+        expected_job_name = "aws_test_glue_job"
+        job_description = "This is test case job from Airflow"
+        role_name = "my_test_role"
+        role_name_arn = "test_role"
+
+        mock_get_conn.return_value.exceptions.EntityNotFoundException = JobNotFoundException
+        mock_get_conn.return_value.get_job.side_effect = JobNotFoundException()
+        mock_get_iam_execution_role.return_value = {"Role": {"RoleName": role_name, "Arn": role_name_arn}}
+
+        hook = GlueJobHook(
+            job_name=expected_job_name,
+            desc=job_description,
+            concurrent_run_limit=2,
+            retry_limit=3,
+            num_of_dpus=5,
+            iam_role_name=role_name,
+            create_job_kwargs={"Command": {}},
+            region_name=self.some_aws_region,
+        )
+
+        result = hook.create_or_update_glue_job()
+
+        mock_get_conn.return_value.get_job.assert_called_once_with(JobName=expected_job_name)
+        mock_get_conn.return_value.create_job.assert_called_once_with(
+            Command={},
+            Description=job_description,
+            ExecutionProperty={"MaxConcurrentRuns": 2},
+            MaxCapacity=5,
+            MaxRetries=3,
+            Name=expected_job_name,
+            Role=role_name_arn,
+        )
+        mock_get_conn.return_value.update_job.assert_not_called()
+        assert result == expected_job_name
+
     @mock.patch.object(GlueJobHook, "get_iam_execution_role")
     @mock.patch.object(GlueJobHook, "get_conn")
     def test_create_or_update_glue_job_update_existing_job(self, mock_get_conn, mock_get_iam_execution_role):