  In the simplest model of open inflation there are two inflaton fields
decoupled from each other. One of them, the tunneling field, produces a first
stage of inflation which prepares the ground for the nucleation of a highly
symmetric bubble. The other, a free field, drives a second period of slow roll
inflation inside the bubble. However, the second field also evolves during the
first stage of inflation, which to some extent breaks the needed symmetry. We
show that this generates large supercurvature anisotropies which, together with
the results of Tanaka and Sasaki, rule out this class of simple models (unless,
of course, $\Omega_0$ is sufficiently close to one.) The problem does not arise
in modified models where the second field does not evolve in the first stage of
inflation.
