During haptic exploration of groove-ridge gratings, humans adjust their movement directions to be orthogonal to the gratings’ orientation. This adjustment is based on sensory information and improves perceptual precision. Previously, we demonstrated that prior visual cues indicating a texture’s orientation produce a similar adjustment already at initial contact; the more so the higher the priors’ quality. Here we elucidated the relationship between the frequency distribution of prior qualities and the learning of adjustments in a between-group comparison. Each trial, participants explored two gratings with equal amplitude. They had to report the stimulus with the higher spatial frequency. Stimuli were given in six different orientations. Priors on grating orientation were given in three different qualities: 50% (excellent information), 15% (medium-low), and 0% (none) for group 1 and 50%, 25% (medium-high), and 0% for group 2. We analyzed movement directions of the first, middle and last strokes over the textures of each trial. The results reveal no substantial prior-based movement adjustment for group 1, but strong effects for group 2 with an increase of initial orthogonal strokes and a decrease in variability of movement directions with higher qualities. Thus, we confirmed that prior quality affects the degree of movement adjustment and additionally conclude that a certain frequency of at least medium or better quality information is crucial for establishing adjustment behavior in the first place.