It depends.
Your state refund will either be fully taxable or even partially taxable depending upon how much the deduction affected your refund or tax liability. Typically, you will receive a Form 1099-G from the state letting you know the amount of your refund from your prior year tax return.
To determine how much is taxable, all 3 of the following must be true:
If all of the above applies for you, review your input to ensure the refund is entered in the correct place in the program:
Your next screens will ask you for information regarding your 2019 return. Based upon your entries, the program will determine if any of your state refunds are taxable.
Information to find last year's state refund