  We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL
equation. We find a general solution for Green functions and consider two
properties of the NLO BFKL kernel: running QCD coupling and large NLO
corrections to the conformal part of the kernel. Both of these effects lead to
Regge-BFKL asymptotics only in the limited range of energy ($y = \ln(s/q q_0)
\leq (\as)^{- {5/3}}$) and change the energy behaviour of the amplitude for
higher values of energy. We confirm the oscillation in the total cross section
found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO
BFKL has a serious pathology.
