it also depends on whether your an employee who will get a W-2 showing wages for both states or only one.
if it shows 2 states it is possible that the income for one state is below the filing threshold. However, to get back any withholding you would need to file. If the refund you would get is small, you may just want to forget about it because the cost for TT second state return and e-filing could easily exceed the refund.
as an independent contractor, you income again your income in the second state could also be below the amount required to file a return
I'm assuming the first state is your resident state.
if you tell us the name of the second state we can lookup the filing requirements or you could do it yourself by type in your browser - ""state" department of revenue". then go to the state website and look for nonresident return instructions.
