J1 Visa after residency? - blitz

[ArchivalUser]

I am presently on J1 visa, doing psych residency.

I would like to do fellowship after my 4 years of residency.

Hypothetically, if I match into a fellowship, do I have to submit a new J1 visa application/request a new Statement of Need from my new hospital, or can I just renew my current J1 visa?

Thanks!