  We propose a correspondence between the Morris--Thorne wormhole metric and a
warp drive metric, which generalizes an earlier result by H. Ellis regarding
the Schwarzschild black hole metric and makes it possible to embed a warp drive
in a wormhole background. We demonstrate that in order to do that, one needs to
also generalize the Natario--Alcubierre definition of warp drive and introduce
nonzero intrinsic curvature. However, we also find out that in order to be
traversable by a warp drive, the wormhole should have a horizon: in other
words, humanly traversable wormholes cannot be traversed by a warp drive, and
vice versa. We also discuss possible loopholes in this "no-go" theorem
