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We consider the continuously delivery message dissemination (CDMD) problem over the n processor single-port complete (all links are present and are bi-directional) static network with the multicasting communication primitive. This problem has been shown to be NP-complete even when all messages have equal length. For the CDMD problem we present an efficient approximation algorithm to construct a message routing schedule with total communication time at most 3.5d, where d is the total length of the messages that each processor needs to send or receive. The algorithm takes O(qn) time, where n is the number of processors and q is the total number of messages that the processors receive.