How to test Django API that uses Celery task with send_email?

So, in my Django project, I have an API view that sends data by email to the user.
That job doing by Cerely (celery task).
I want to test that API sends the right data.
But I can't realize how to do that with that celery job, because the user created in a testcase has a non-exist email.
So even if I run celery worker in a test it'll fail due to the wrong email with SMTP error...
If we implement the view without celery we can use Django mail.outbox[0].body to inspect the mail.
But with Celery we can't.
Pls, advise.

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