  We demonstrate that the non-trivial CP-violating structure of QCD vacuum can
lead to an observable effect in $e^+e^-\to q\bar q\to 2$-jet annihilation. We
find that the sign of the jet handedness correlation can be opposite to that
predicted by factorization of $q~\bar q$ fragmentation and CP-conjugation of
the two jets. A simple model estimation of the handedness correlation magnitude
is given.
