The invention relates to a device for supporting a tube, in particular a tube of a heat exchanger intended to come into contact with a vehicle battery in order to cool same. The device comprises a base on which the tube is intended to be mounted, and a compression element (1), the base and the compression element (1) comprising a contact zone (25) extending along a direction d, known as the contact direction, and the base and the compression element (1) being intended to come into contact at the contact zone (25) when the compression element (1) is under stress. The configuration of the contact zone of the compression element (1) and/or the contact zone of the base changes along the length of the contact direction d.