Is my Social security disabiity taxable to my STATE if my STATE income is not taxable?

I receive a pension as a former state employee which is NOT taxable to my state---(do not have to file a State return).. but IS taxable to the Feds... This year I also started getting social security disability.. I know that 1/2 of those disability payments is subject to FEDERAL TAX because my retirement income is over $25,000... HOWEVER, since I actually have NO TAXABLE INCOME from my state, would I therefore have to pay taxes on ANY of the social security money to my State as the retirement money I receive is NOT TAXABLE to my state?