A large number of microlensing events have been observed in the direction of the Galactic bulge, with a measured optical depth in the range 2 - 3 x 10^{-6}. It has been shown that most of these events are due to bulge stars being lensed by other bulge stars or by foreground disk stars. Among the stars observed in the bulge fields, there should also be disk stars located behind the bulge; here, we consider their effect on the microlensing rates. The optical depth of background disk stars is much higher than that of typical bulge stars, reaching 10^{-5} at 6 Kpc behind the bulge. Thus, although background disk stars are a very small fraction of the stars in Baade's window, we find that ~ 5 to 10 % of the optical depth should be due to disk stars more than 3 kpc behind the bulge. This fraction is sensitive to the luminosity function of disk stars at large scale-height, to the magnitude cutoff of the survey, and to the amplification bias effect causing large numbers of ``blended'' events. We consider also the effect of a warp and flare in the disk at large distances behind the bulge; this could increase the optical depth from the background disk to ~ 20 % of the total. Events on background disk stars should on average be longer than other events and could be distinguished also by measuring the proper motion or distance of the stars that have been microlensed. The number of these events could be an interesting probe to the structure and stellar population of the far-side of the Galactic disk.

23 pages, LaTex, 6 Postscript figures, Published in ApJ