  We show that under certain conditions multiband superconductors with broken
time-reversal symmetry have a new vortex viscosity-generating mechanism which
is different from that in conventional superconductors. It appears due to the
existence of mixed superfluid phase-density mode inside vortex core. This new
contribution is dominant near the time reversal symmetry breaking phase
transition. The results could be relevant for three band superconductor
$Ba_{1-x}K_{x}Fe_2As_2$.
