Different types of texture produce differences in slant-discrimination performance (P. Rosas, F. A. Wichmann, & J. Wagemans, 2004). Under the assumption that the visual system is sensitive to the reliability of different depth cues (M. O. Ernst & M. S. Banks, 2002; L. T. Maloney & M. S. Landy, 1989), it follows that the texture type should affect the influence of the texture cue in depth-cue combination. We tested this prediction by combining different texture types with object motion in a slant-discrimination task in two experiments. First, we used consistent cues to observe whether our subjects behaved as linearly combining independent estimates from texture and motion in a statistical optimal fashion (M. O. Ernst & M. S. Banks, 2002). Only 4% of our results were consistent with such an optimal combination of uncorrelated estimates, whereas about 46% of the data were consistent with an optimal combination of correlated estimates from cues. Second, we measured the weights for the texture and motion cues using perturbation analysis. The results showed a large influence of the motion cue and an increasing weight for the texture cue for larger slants. However, in general, the texture weights did not follow the reliability of the textures. Finally, we fitted the correlation coefficients of estimates individually for each texture, motion condition, and observer. This allows us to fit our data from both experiments to an optimal cue combination model with correlated estimates, but inspection of the fitted parameters shows no clear, psychophysically interpretable pattern. Furthermore, the fitted motion thresholds as a function of texture type are correlated with the slant thresholds as a function of texture type. One interpretation of such a finding is a strong coupling of cues.