You don't. All state income taxes are entered in the federal return so they may included in itemized deductions. TT/States pick up their taxes withheld from there. For instance, if the other state's withholding is not on a 1099 then this is how to enter it:
Federal Taxes tab (this is the Deluxe path, your version should be similar)
Deductions and Credits
I'll choose what I work on
Scroll down to Estimates and Other Taxes Paid
Select Other Income Taxes
Under Other Income Taxes Paid in 2018 is
Withholding not already entered on a W-2 or 1099 <Start>
Enter the $$ withheld in the State box and select the State from the dropdown.