diff --git a/airflow-core/src/airflow/models/taskinstance.py b/airflow-core/src/airflow/models/taskinstance.py
index 09044b5aaf2cc..964c345a3bf6c 100644
--- a/airflow-core/src/airflow/models/taskinstance.py
+++ b/airflow-core/src/airflow/models/taskinstance.py
@@ -88,6 +88,7 @@
 from airflow.models.taskreschedule import TaskReschedule
 from airflow.models.xcom import XCOM_RETURN_KEY, LazyXComSelectSequence, XComModel
 from airflow.settings import task_instance_mutation_hook
+from airflow.task.priority_strategy import validate_and_load_priority_weight_strategy
 from airflow.ti_deps.dep_context import DepContext
 from airflow.ti_deps.dependencies_deps import REQUEUEABLE_DEPS, RUNNING_DEPS
 from airflow.ti_deps.deps.ready_to_reschedule import ReadyToRescheduleDep
@@ -693,7 +694,10 @@ def insert_mapping(
 
         :meta private:
         """
-        priority_weight = task.weight_rule.get_weight(
+        weight_rule = task.weight_rule
+        if not hasattr(weight_rule, "get_weight"):
+            weight_rule = validate_and_load_priority_weight_strategy(weight_rule)
+        priority_weight = weight_rule.get_weight(
             TaskInstance(task=task, run_id=run_id, map_index=map_index, dag_version_id=dag_version_id)
         )
         context_carrier = new_task_run_carrier(dag_run.context_carrier)
@@ -874,7 +878,10 @@ def refresh_from_task(self, task: Operator, pool_override: str | None = None) ->
         self.queue = task.queue
         self.pool = pool_override or task.pool
         self.pool_slots = task.pool_slots
-        self.priority_weight = self.task.weight_rule.get_weight(self)
+        weight_rule = self.task.weight_rule
+        if not hasattr(weight_rule, "get_weight"):
+            weight_rule = validate_and_load_priority_weight_strategy(weight_rule)
+        self.priority_weight = weight_rule.get_weight(self)
         self.run_as_user = task.run_as_user
         # Do not set max_tries to task.retries here because max_tries is a cumulative
         # value that needs to be stored in the db.
diff --git a/airflow-core/tests/unit/models/test_taskinstance.py b/airflow-core/tests/unit/models/test_taskinstance.py
index cd1dd3c337a12..9eba07daaa130 100644
--- a/airflow-core/tests/unit/models/test_taskinstance.py
+++ b/airflow-core/tests/unit/models/test_taskinstance.py
@@ -2653,6 +2653,26 @@ def mock_policy(task_instance: TaskInstance):
     assert ti.max_tries == expected_max_tries
 
 
+@pytest.mark.parametrize(
+    ("weight_rule", "expected_weight"),
+    [
+        pytest.param("downstream", 10 + 5, id="downstream-sums-descendants"),
+        pytest.param("upstream", 10, id="upstream-no-ancestors"),
+        pytest.param("absolute", 10, id="absolute-self-only"),
+    ],
+)
+def test_refresh_from_task_with_non_serialized_operator(weight_rule, expected_weight):
+    """Regression: TaskInstance must work with non-serialized operators whose weight_rule is a WeightRule enum."""
+    with DAG(dag_id="test_dag"):
+        root = EmptyOperator(task_id="root", priority_weight=10, weight_rule=weight_rule)
+        child = EmptyOperator(task_id="child", priority_weight=5)
+        root >> child
+
+    ti = TI(root, run_id=None, dag_version_id=mock.MagicMock())
+
+    assert ti.priority_weight == expected_weight
+
+
 def test_defer_task_returns_false_when_no_start_from_trigger(create_task_instance):
     session = mock.MagicMock()
     ti = create_task_instance(