PIP & Road tax

Following a successful DLA to PIP transfer (using guides on the site and achieving enhanced on both from Low care/High mobility) I have a question re road tax....The car is covered until March under DLA exemption however DLA has ended and a final payment has been made. PIP has started and due to be paid at the end of November - do we have to re-tax the car? or does the tax under DLA continue until March? the paperwork was not clear...