Abstract: A device at centreless grinding machine incorporating a frame (1), a regulating wheel carriage (7) individually displaceably supported on guides (2) in the frame and supporting a regulating wheel (9), a grinding wheel carriage (3) individually displaceably supported on guides (2) in the frame and supporting a grinding wheel (4), said regulating and grinding wheels (9, 4) between them defining a grinding gap (10) of adjustable size, a work support (11) provided in the grinding gap, and dressing means for the regulating and grinding wheels, said grinding and regulating wheel carriages (3, 7) each being designed with at least two spaced apart supporting points (5a, 6a; 13a, 14a) relative to the guides, wherein said carriages are arranged in an overlapping relation thus that one supporting point (6a; 14a) for one of the said carriages (3; 7) is situated between the two supporting points (13a, 14a; 5a, 6a) for the other carriage (7; 3), for the purpose of compensating thermally dependent length variations at said