The invention relates to a device for cutting slits in a surface, for instance a turf cover, comprising a frame displaceable over the surface, a movable cutter on the frame and oriented during use toward the surface for the purpose of cutting slits in the surface. The invention is distinguished in that the device comprises collecting means for collecting the material cut from the surface by means of the cutter.The invention also relates to a dispensing device, comprising a filler material container, a channel to an outflow opening oriented toward a slit, which channel is connected to the filler material container, and a dispensing mechanism in at least one of the channel and the filler material container.