  Gravitational wave (GW) transients from binary neutron star (BNS)
coalescences can, in principle, be subject to gravitational lensing thereby
increasing the amplitude and signal-to-noise ratio. We estimate the rate of
lensed BNS events resolvable by LIGO and Virgo and find that it is constrained
by the current non-detection of a stochastic GW background. Following closely
the formalism we developed (10.1103/PhysRevLett.125.141102) in the context of
binary black hole lensing, we show that at current sensitivities the fraction
of BNS coalescences with lensing magnifications $\mu> 1.02$ is less than $\sim
7\times 10^{-8}$ and therefore such events should not be expected in the near
future. We also make predictions for projected future sensitivities.
