Ultrasound motion-estimation includes issuing multiple ultrasound pulses, spaced apart from each other in a propagation direction of a shear wave, to track axial motion caused by the wave. The wave has been induced by an axially-directed push. Based on the motion, autocorrelation is used to estimate an axial displacement. The estimate is used as a starting point (234) in a time-domain based motion tracking algorithm for modifying the estimate so as to yield a modified displacement. The modification can constitute an improvement upon the estimate. The issuing may correspondingly occur from a number of acoustic windows, multiple ultrasound imaging probes imaging respectively via the windows. The autocorrelation, and algorithm, operate specifically on the imaging acquired via the pulses used in tracking the motion caused by the wave that was induced by the push, the push being a single push. The algorithm may involve cross-correlation over a search area incrementally increased subject to an image matching criterion (S358).