For handling multi UL access procedures, methods, apparatus, and systems are disclosed. One apparatus includes a processor and a transceiver for communicating with a mobile communication network using a plurality of radio bearers. The processor initiates a first random-access procedure for a first radio bearer. The processor receives a scheduling request trigger for a second radio bearer while the first random-access procedure remains pending. The processor determines whether simultaneous scheduling request transmission is permitted, wherein the transceiver transmits a first scheduling request message for the second radio bearer in response to simultaneous scheduling request transmission being permitted.