We report on low-resolution spectroscopy of GX339-4 during its current, ext
ended X-ray "off" state in May 2000 (r = 20.1) obtained with the VLT Focal
Reducer/low dispersion Spectrograph (FORS1). Although we do not positively
detect the secondary star in GX339-4 we place an upper limit of 30 percent
on the contribution of a "normal" K-type secondary star spectrum to the obs
erved flux. Using this limit for the observed magnitude of the secondary st
ar, we find a lower limit for the distance of GX339-4 to be 5.6 kpc.