A base station subsystem (BSS) and a method are described herein for improving an Access Grant Channel (AGCH) capacity when a downlink Temporary Block Flow (TBF) is established for at least one mobile station and used for sending the respective downlink payload. Plus, a mobile station (MS) and a method are described herein for improving the AGCH capacity when the mobile station is sent information required for establishing a downlink TBF on which it receives its respective downlink payload.