Distinguishing sloppy taps from sliding motions is disclosed using an algorithm that can take into account both a time instability factor Tinst and a touch instability factor Zinst. A limited amount of motion per frame can be subtracted off immediately following the detection of a touch event. Small lateral motions indicative of a sloppy tap can be suppressed, while fast finger motions indicative of a quick, long cursor movement can immediately pass through the filter without being suppressed by a significant amount. A motion pass-through suppression factor can be applied subtractively to motion in particular direction as a function of Zinst and Tinst, wherein Zinst can represent a suppression value given as a finger speed for a particular percentage change in touch instability per frame, and Tinst can represent a suppression value given as finger speed for a particular tpress.