Because of the large kick velocities with which neutron stars are born
in supernova explosions, their spatial distribution is more extended
than that of their progenitor stars. The large scale height of the neu
tron stars above the disk plane makes them potential candidates for mi
crolensing of stars in the Large Magellanic Cloud. Adopting for the di
stribution of kicks the measured velocities of young pulsars, we obtai
n a microlensing optical depth of tau similar to 2N(10) x 10(-8) (wher
e N-10 is the total number of neutron stars born in the disk in units
of 10(10)). The event duration distribution has the interesting proper
ty of being peaked at T similar to 60-80 days, but for the rates to be
relevant for the present microlensing searches, it would require N-10
greater than or similar to 1, a value larger than the usually adopted
ones (N-10 similar to 0.1-0.2).