International Telemetering Conference Proceedings / October 20-23, 2003 / Riviera Hotel and Convention Center, Las Vegas, Nevada / A novel satellite multiple access scheme called PR-CFDAMA (Predictive Request-Combined Free/Demand Assignment Multiple Access) is proposed in this paper. The delay performances between PR-CFDAMA and R-CFDAMA (Round Robin-CFDAMA) scheme were compared by computer simulation. Simulations were carried out with the Interrupted Poisson Process (IPP) and Interrupted Fluid Process (IFP) traffic models. Simulation results demonstrate that comparing with R-CFDAMA scheme, the PR-CFDAMA scheme achieves a lower delay, meets a much lower delay constraint.