A method and a user equipment (UE) configured for dual priority for controlling a backoff timer are discussed. The method according to an embodiment includes transmitting a first non access stratum (NAS) request message without an access point name (APN) including a low priority indicator set to a first value to a network node; receiving a reject message for the NAS request message from the network node; initiating a session management (SM) backoff timer in response to the reject message; and transmitting a second NAS request message including the low priority indicator set to a second value to the network node while the SM backoff timer is running. The first value of the low priority indicator indicates that the UE is configured for NAS signaling low priority. The second value of the low priority indicator indicates that the UE is not configured for NAS signaling low priority.