An access control protocol is proposed and analyzed for an integrated video/voice/data DS-CDMA (direct-sequence code division multiple access) system. The protocol involves predicting the residual capacity available to non real-time data services in the reverse link (mobile to cell-site). Each VBR video connection is assumed to handle bursty traffic by utilizing additional DS-CDMA channels, in parallel, as provisioned in IS-95-B and cdma2000 standards. The variations in the source bit-rate, and hence the number of occupied channels, with respect to time, are approximated as a multi-state CTMC (continuous time Markov chain) process. The state of the Markov process is predicted based on the transient-state analysis using the probability generating function approach. The predicted state is used to compute the residual capacity or the number of data packets that could be scheduled at that time. Some numerical results are presented that quantify the resulting improvement in resource utilization by comparing to a steady-state analysis based approach to access control.