  We conjecture that the inflation models with trans-Planckian excursions in
the field space should be in the swampland. We check this conjecture in a few
examples and investigate the constraints on the spectral index for the
slow-roll inflation model in string landscape where the variation of inflaton
during the period of inflation is less than the Planck scale $M_p$. A red
primordial power spectrum with a lower bound on the spectral index is
preferred. Both the tensor-scalar ratio and the running can be ignored.
