  We have reexamined the problem of disorder in two-band superconductors, and
shown within the framework of the T-matrix approximation, that the suppression
of T_c can be described by a single parameter depending on the intraband and
interband impurity scattering rates. T_c is shown to be more robust against
nonmagnetic impurities than would be predicted in the trivial extension of
Abrikosov-Gor'kov theory. We find a disorder-induced transition from the
s_{\pm} state to a gapless and then to a fully gapped s_{++} state, controlled
by a single parameter -- the sign of the average coupling constant <\lambda> .
We argue that this transition has strong implications for experiments.
