  We discuss the comment by Zarand and Zawadowski (cond-mat/0009283) on our
preprint cond-mat/0007430 where it has been shown that the strong coupling
regime for the two-channel Kondo model of two level system can be never
realized for any realistic microscopic description. The authors of the comment
state that the Kondo temperature can be substantially increased due to
electron-hole asymmetry. Here we show by direct calculation that the
electron-hole asymmetry does not enter the leading logarithmic approximation.
Consequently, we disagree with the aforementioned comment.
