diff --git a/cosmos/airflow/graph.py b/cosmos/airflow/graph.py
index af854d4f50..4286a7a081 100644
--- a/cosmos/airflow/graph.py
+++ b/cosmos/airflow/graph.py
@@ -99,7 +99,10 @@ def create_test_task_metadata(
 
 
 def create_task_metadata(
-    node: DbtNode, execution_mode: ExecutionMode, args: dict[str, Any], use_task_group: bool = False
+    node: DbtNode,
+    execution_mode: ExecutionMode,
+    args: dict[str, Any],
+    use_task_group: bool = False,
 ) -> TaskMetadata | None:
     """
     Create the metadata that will be used to instantiate the Airflow Task used to run the Dbt node.
@@ -156,6 +159,7 @@ def generate_task_or_group(
     test_behavior: TestBehavior,
     test_indirect_selection: TestIndirectSelection,
     on_warning_callback: Callable[..., Any] | None,
+    node_config: dict[str, Any] | None = None,
     **kwargs: Any,
 ) -> BaseOperator | TaskGroup | None:
     task_or_group: BaseOperator | TaskGroup | None = None
@@ -176,7 +180,7 @@ def generate_task_or_group(
     if task_meta and node.resource_type != DbtResourceType.TEST:
         if use_task_group:
             with TaskGroup(dag=dag, group_id=node.name, parent_group=task_group) as model_task_group:
-                task = create_airflow_task(task_meta, dag, task_group=model_task_group)
+                task = create_airflow_task(task_meta, dag, task_group=model_task_group, extra_context=node_config)
                 test_meta = create_test_task_metadata(
                     "test",
                     execution_mode,
@@ -185,11 +189,12 @@ def generate_task_or_group(
                     node=node,
                     on_warning_callback=on_warning_callback,
                 )
-                test_task = create_airflow_task(test_meta, dag, task_group=model_task_group)
+                test_task = create_airflow_task(test_meta, dag, task_group=model_task_group, extra_context=node_config)
                 task >> test_task
                 task_or_group = model_task_group
         else:
             task_or_group = create_airflow_task(task_meta, dag, task_group=task_group)
+
     return task_or_group
 
 
@@ -251,6 +256,7 @@ def build_airflow_graph(
             test_indirect_selection=test_indirect_selection,
             on_warning_callback=on_warning_callback,
             node=node,
+            node_config=node.config,
         )
         if task_or_group is not None:
             logger.debug(f"Conversion of <{node.unique_id}> was successful!")
diff --git a/cosmos/core/airflow.py b/cosmos/core/airflow.py
index 7c5dee3281..ffb6137a19 100644
--- a/cosmos/core/airflow.py
+++ b/cosmos/core/airflow.py
@@ -6,12 +6,14 @@
 
 from cosmos.core.graph.entities import Task
 from cosmos.log import get_logger
-
+from typing import Any
 
 logger = get_logger(__name__)
 
 
-def get_airflow_task(task: Task, dag: DAG, task_group: "TaskGroup | None" = None) -> BaseOperator:
+def get_airflow_task(
+    task: Task, dag: DAG, task_group: "TaskGroup | None" = None, extra_context: dict[str, Any] | None = None
+) -> BaseOperator:
     """
     Get the Airflow Operator class for a Task.
 
@@ -30,6 +32,7 @@ def get_airflow_task(task: Task, dag: DAG, task_group: "TaskGroup | None" = None
         task_id=task.id,
         dag=dag,
         task_group=task_group,
+        extra_context=extra_context,
         **task.arguments,
     )
 
diff --git a/cosmos/operators/base.py b/cosmos/operators/base.py
index 6d276013d5..3aa5dae08c 100644
--- a/cosmos/operators/base.py
+++ b/cosmos/operators/base.py
@@ -57,6 +57,7 @@ class DbtBaseOperator(BaseOperator):
         (i.e. /home/astro/.pyenv/versions/dbt_venv/bin/dbt)
     :param dbt_cmd_flags: List of flags to pass to dbt command
     :param dbt_cmd_global_flags: List of dbt global flags to be passed to the dbt command
+    :param extra_context: A dictionary of values to add to the Airflow Task context
     """
 
     template_fields: Sequence[str] = ("env", "vars")
@@ -105,6 +106,7 @@ def __init__(
         dbt_executable_path: str = get_system_dbt(),
         dbt_cmd_flags: list[str] | None = None,
         dbt_cmd_global_flags: list[str] | None = None,
+        extra_context: dict[str, Any] | None = None,
         **kwargs: Any,
     ) -> None:
         self.project_dir = project_dir
@@ -132,6 +134,7 @@ def __init__(
         self.dbt_executable_path = dbt_executable_path
         self.dbt_cmd_flags = dbt_cmd_flags
         self.dbt_cmd_global_flags = dbt_cmd_global_flags or []
+        self.extra_context = extra_context or {}
         super().__init__(**kwargs)
 
     def get_env(self, context: Context) -> dict[str, str | bytes | os.PathLike[Any]]:
@@ -231,3 +234,9 @@ def build_cmd(
         env = self.get_env(context)
 
         return dbt_cmd, env
+
+    def pre_execute(self, context: Any) -> None:
+        if self.extra_context:
+            logger.info("Extra context passed to operator, injecting into TaskInstance")
+            context["model_config"] = self.extra_context
+        return super().pre_execute(context)
diff --git a/cosmos/operators/local.py b/cosmos/operators/local.py
index 6eea764ad1..0e7d3684c5 100644
--- a/cosmos/operators/local.py
+++ b/cosmos/operators/local.py
@@ -236,9 +236,7 @@ def run_command(
                 )
                 if is_openlineage_available:
                     self.calculate_openlineage_events_completes(env, Path(tmp_project_dir))
-                    context[
-                        "task_instance"
-                    ].openlineage_events_completes = self.openlineage_events_completes  # type: ignore
+                    context["task_instance"].openlineage_events_completes = self.openlineage_events_completes  # type: ignore
 
                 if self.emit_datasets:
                     inlets = self.get_datasets("inputs")