End drive for a conveyor, comprising a conveying track (6) for, during use, guiding a conveying part of a modular conveyor mat (2) of the side-flexing type, a return guide (10) extending at a distance along the conveying part for return guidance of a return part of the conveyor mat, and a gear drive (16) located between the conveying track and the return guide for, through engagement on the conveyor mat, drivingly having the conveyor mat round from the conveying track to the return guide. The conveying track and the return guide comprise a bend segment where the conveying part and the return part of the conveyor mat, respectively, are guided in their planes through a bend. The gear drive drives the conveyor mat only in an area corresponding to the outer side of the bend segment where successive modules of the conveyor mat are substantially pitched, and leaves the conveyor mat free in an area corresponding to the inner side of the bend segment where successive modules of the conveyor mat are at least partly slid into each other. The return guide comprises a guiding envelope (E).