In a multi-access system, an access selection principle is achieved by selecting a signal strength threshold level (130-133) based on a determined load level (ULOCAL) in a first access network. A new user in an area commonly covered by more than one access network attempts to allocate to the first access network if an experienced signal strength exceeds the signal strength threshold level (130-133). Communication utility can preferably be maximized or at least be taken into account by using suitable load level dependencies. By increasing the threshold when the load level approaches the capacity limit, a completely filled first access network is avoided. This gives an opportunity to let particularly well-suited users still have access to the first access network. At the same time, since the preferred access is decided before the actual access attempt, control signalling can be significantly reduced, even at very high traffic loads.