A winding tool (10) operating in conjunction with a level wind (18) spools coiled tubing (12) in a helical pattern onto a reel (14). In one embodiment, the winding tool (10) includes a plurality of rollers (136) that are urged against the winds of coiled tubing (12) with a biasing member (140). A driver (110) provides controlled oscillatory translational movement for the rollers (136).