The present invention relates to an arrangement for a supercharged combustion engine (2). The arrangement comprises a low-temperature cooling system with a coolant, a coolant pump (27) adapted to circulating the coolant in the cooling system, and a cooler (10, 15) in which a gaseous medium which contains water vapour is intended to be cooled by the coolant in the cooling system. The arrangement comprises also at least one sensor (33, 35) adapted to detecting a parameter which indicates whether the gaseous medium is cooled so much that there is ice formation or risk of ice formation in the cooler (10, 15), and a control unit (31) adapted to receiving information from said sensors (33, 35) and to deciding whether there is ice formation or risk of ice formation in the cooler (10, 15) and, ifso, to controlling the coolant pump in such a way that the latter is temporarily switched off or circulates a reduced flow of coolant through the cooler (10, 15) relative to a normal flow.