TurboTax will only allow the amount available to be transferred- Students must claim their tuition amounts and reduce their own tax payable to zero before they may transfer any leftover credits to an eligible recipient. Once they have claimed their tuition fees, TurboTax will let them know how much of their leftover current-year credits can be transferred to someone else. If TurboTax is saying only $4238.00 is available for transfer- from the Federal amount then that is all they can transfer over.
Thank you for choosing TurboTax.