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In this paper, a bandwidth allocation scheme for the transmission of medical data in the IEEE 802.11n based WLAN is proposed. The main idea is to transmit medical data on the subcarriers for realtime traffic when these subcarriers are available and, otherwise, to store these medical data in patient devices; this is a tradeoff between the traffic load in the WLAN and the memory size of patient devices. In addition, based on the patient status, the medical data are classified into normal data and abnormal data, and the delay requirement of the transmission of abnormal medical data is taken into account. Based on this scheme as well as the requirements of various types of traffic, the method for optimal bandwidth allocation to minimize the number of subcarriers is obtained by solving a dynamic programming problem.