diff --git a/addons/project/models/project.py b/addons/project/models/project.py
index 473a73f670e..6e968c3e8ef 100644
--- a/addons/project/models/project.py
+++ b/addons/project/models/project.py
@@ -1931,7 +1931,16 @@ class Task(models.Model):
             project_id = vals.get('project_id')
             if project_id:
                 self = self.with_context(default_project_id=project_id)
-        return super()._load_records_create(vals_list)
+        tasks = super()._load_records_create(vals_list)
+        stage_ids_per_project = defaultdict(list)
+        for task in tasks:
+            if task.stage_id and task.stage_id not in task.project_id.type_ids and task.stage_id.id not in stage_ids_per_project[task.project_id]:
+                stage_ids_per_project[task.project_id].append(task.stage_id.id)
+
+        for project, stage_ids in stage_ids_per_project.items():
+            project.write({'type_ids': [Command.link(stage_id) for stage_id in stage_ids]})
+
+        return tasks
 
     @api.model_create_multi
     def create(self, vals_list):
diff --git a/addons/project/tests/test_project_base.py b/addons/project/tests/test_project_base.py
index dfd3f200d38..acc99100230 100644
--- a/addons/project/tests/test_project_base.py
+++ b/addons/project/tests/test_project_base.py
@@ -120,3 +120,22 @@ class TestProjectBase(TestProjectCommon):
 
         project_unlink.unlink()
         self.assertNotEqual(task_count, 0, "The all tasks linked to project should be deleted when user delete the project")
+
+    def test_auto_assign_stages_when_importing_tasks(self):
+        self.assertFalse(self.project_pigs.type_ids)
+        self.assertEqual(len(self.project_goats.type_ids), 2)
+        first_stage = self.project_goats.type_ids[0]
+        self.env['project.task']._load_records_create([{
+            'name': 'First Task',
+            'project_id': self.project_pigs.id,
+            'stage_id': first_stage.id,
+        }])
+        self.assertEqual(self.project_pigs.type_ids, first_stage)
+        self.env['project.task']._load_records_create([
+            {
+                'name': 'task',
+                'project_id': self.project_pigs.id,
+                'stage_id': stage.id,
+            } for stage in self.project_goats.type_ids
+        ])
+        self.assertEqual(self.project_pigs.type_ids, self.project_goats.type_ids)