We present an experimental study of surface wave fields in single- and double-slit experiments with single wave-driven droplets of silicone oil that bounce on a vertically vibrated bath of the same liquid. During slit passage, we observe significant reduction of the central wave crest behind the droplet and disruption of the horseshoe-shaped wave field that is characteristic of a droplet over flat topography. In the double-slit experiments, we find a weak wave field in and through the slit that is not visited by the droplet, and there are only minute differences between the single- and double-slit experiments in the wave field along the center line of the slit that is visited by the droplet. We discuss our observations in relation to the slit experiments by Couder and Fort [Phys. Rev. Lett. 97, 154101 (2006)] and Pucci et al. [J. Fluid Mech. 835, 1136 (2018)].