In bilayer graphene an interface between regions with opposite sign of the interlayer asymmetry gap leads to the spatial confinement of low-energy chiral modes [I. Martin, Y. M. Blanter, and A. F. Morpurgo, Phys. Rev. Lett. 100, 036804 (2008)]. Here we study the influence of trigonal warping on the properties of the interface-guided stats and find that in the vicinity of the band edges the group velocity and transverse confinement length exhibit a nonmonotonic dependence on the crystallographic orientation of the crystal with respect to the interface.