An intercooler assembly may include a housing and a cooler arranged therein through which charge air may be flowable. The housing may include an insertion opening through which the cooler may be insertable into the housing in an insertion direction transverse to the flow direction of the charge air. The cooler may include a pipe structure through which a coolant may be flowable, first and second end parts opposite each other transverse to the insertion direction, and third and fourth end parts opposite each other transverse to the first and second end parts and parallel to the flow direction, the end parts laterally delimiting and mechanically connected to the pipe structure. The cooler may be mechanically connected to the housing by the first end part, and at least one of the other end parts may be movably attached to the housing. The cooler may be pre-stressed against the housing by the third and/or fourth end part in a direction opposite a deformation of the cooler resulting from cooling of the charge air.