Temperature is controlled in a refrigerated transport container comprising a transport volume, a control unit, a cooling space, one or more fans providing air flow through the cooling space, where air passing through the cooling space passes a return air temperature sensor, a cooling unit, and a supply air temperature sensor. Supply air temperature (Tsup) is controlled to bring temperatures in the transport volume within a desired temperature range around a first temperature set point (Tset). The supply air temperature (Tsup) or a time-averaged function thereof is controlled to reach a temperature below the set point (Tset) during a first limited time period; and the supply air temperature (Tsup) is increased during a second limited time period following said first time period, so that the supply air temperature (Tsup) or a time-averaged function thereof at the end of said second time period is within said desired temperature range.