A wireless device is configured to perform a random access procedure for random access by the wireless device to a wireless communication system. The random access procedure includes multiple messages in sequence. The wireless device is configured to determine a carrier on which a downlink message in the random access procedure is to be received by the wireless device, from amongst multiple different carriers which are configurable as said carrier, based on configuration information received from a radio network node indicating said carrier. The downlink message occurs in the random access procedure subsequent to an initial message in the sequence. The wireless device is also configured to receive the downlink message on the determined carrier.