The present invention relates to methods and arrangements that make it possible to control the delay for the UEs to access the EUL resources in the Enhanced Uplink in CELL_FACH state procedure, independently from the delay for the UEs to access ordinary UL resources in the RACH procedure. This is achieved by a solution where the timing of entering (or re-entering) a transmission procedure for Enhanced Uplink in CELL_FACH state is controlled with the help of a transmission control parameter defined specifically for this transmission procedure, instead of using the same parameter as for the RACH procedure.