In order to avoid the large peak transmit power, resulting from the high transmission rates expected for future mobile communication systems, a wireless multi-hop virtual cellular network (VCN) was recently proposed. In VCN, the transmitted signal from a mobile terminal is relayed via multi-hop links to the central port, which is the gateway to the core network. With the use of a routing algorithm based on the total uplink transmit power minimization criterion, the total transmit power of all the multi-hop links between the mobile terminal and the central port can be significantly reduced, in comparison with the present (single-hop) cellular network. Reducing the transmit power per communication contributes to reducing the interference power and hence the system capacity may be enlarged In this paper, an "on-demand" channel assignment strategy, using the channel segregation dynamic channel allocation (CS-DCA) algorithm, is proposed for multi-hop DS-CDMA VCN. Computer simulation is conducted to evaluate the blocking probability performance and make a comparison between the VCN and the present cellular network.