End drive for a conveyor, comprising a conveying track (6) for, during use, guiding a conveying part of a straight-running modular conveyor mat (2), 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 of the conveyor mat, drivingly having the conveyor mat round from the conveying track to the return guide. The return guide comprises a guiding envelope (E), linking up with the gear drive and extending along successive rows of modules, in which movement of the return part of the conveyor mat both sideways in the plane of the conveyor mat and transversely to the conveying plane is limited.