  We report the existence of dissipationless currents in bilayer
superconductors above the critical temperature $T_c$, assuming that the
superconducting phase transition is dominated by phase fluctuations. Using a
semiclassical $U(1)$ lattice gauge theory, we show that thermal fluctuations
cause a transition from the superconducting state at low temperature to a
resistive state above $T_c$, accompanied by the proliferation of unbound
vortices. Remarkably, while the proliferation of vortex excitations causes
dissipation of homogeneous in-plane currents, we find that counterflow
currents, flowing in opposite direction within a bilayer, remain
dissipationless. The presence of a dissipationless current channel above $T_c$
is attributed to the inhibition of vortex motion by local superconducting
coherence within a single bilayer, in the presence of counterflow currents. Our
theory presents a possible scenario for the pseudogap phase in bilayer
cuprates.
