We analyze final state strong interaction effects in B → Dρ and B → D * π decays using the Regge model. We find that, due to the smallness of the contributions from the non-leading Regge trajectories (ρ , f , π etc.), final state interaction phases are small if the Pomeron coupling to the charm quark is suppressed in comparison to lighter quarks. Our conclusion is that for B decays into states containing charm, final state interaction effects should play a minor role.