Nope. Don't tumble dry. Lay it between towels (with no fabric softener), press out the excess water, and lay flat to dry.
If it shrinks up in the dryer, there is no guarantee that the shrinkage will be proportional. It could shrink UP in length, but not in width...or vice versa. It could distort in weird ways, becoming wonky and misshapen.
All that work down the drain.