On J2 visa and have EAD.. still need a sponsor?

J2J2

New Member
I am currently on J2 visa and have EAD. I will apply for medical residency and would like to know in my current status am I still need visa sponsor or not? could I apply for the programs which say we don't sponsor visa?
In my application will I choose that I don't need visa sponsorship?
Thanks!
 
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