Millimeter-wave channel sounders are much more sensitive to phase drift than their microwave counterparts by virtue of shorter wavelength. This matters when coherently combining untethered channel measurementsscanned over multiple antennas either electronically or mechanically in seconds, minutes, or even hoursto obtain directional information. To eliminate phase drift, a synchronization cable between the transmitter and receiver is required, limiting deployment range and flexibility indoors, and precluding most outdoor and mobile scenarios. Instead, we propose a blind technique to calibrate for phase drift by postprocessing the channel measurements; the technique is referred to as blind because it requires no reference signal and, as such, works even in non-line-of-sight conditions when the (reference) direct path goes undetected. To substantiate the technique, it was tested on real measurements collected with our 60 GHz virtual phased-array channel sounder, as well as through simulation. The technique was demonstrated robust enough to deal with the most severe case of phase drift (uniformly distributed phase) and in non-line-of-sight conditions.