Concurrent H-1B

I am currently on H-1B with a university (cap exempt), working full time (40-hrs/week). An opportunity has come to work part-time for another For-profit institution (not cap exempt), may be for 20 hours or so per week. So my questions are: Can I apply for a concurrent H1 (For-profit; not cap exempt) whose work load will be additional to my current H1? Is there a restriction on where the concurrent H-1 sponsor is located in the US? Does 'Concurrent H-1B' need to go through the yearly quota since it is 'not cap-exempt' in my case?

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The last time I checked into this issue, you could apply for a concurrent quota H-1 even though you are currently holding an exempt H-1. Location of the employer is not important, location of the job is.

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