Van der Sar missed the Boxing Day trip to West Ham, after it emerged he broke a bone in his foot against Newcastle on Saturday.
Fulham fear their imposing Dutch international will be out of action for six weeks, giving Northern Ireland shot-stopper Taylor the chance to impress.
Taylor was only beaten by a penalty at West Ham, and Cottagers assistant manager Christian Damiano felt the keeper deserved praise.
He said: "The draw was the minimum for us today as we pushed and tried to take risks. It was a good game and Maik Taylor played very well."
Taylor is a worthy understudy, but Fulham are sure to miss the presence of former Juventus keeper van der Sar.