A method may include receiving a request for a lawful intercept (LI) session, where the LI session is associated with a particular priority of a set of priority levels, and determining whether a maximum quantity of LI sessions has been initiated by a network device. The method may further include initiating a new LI session based on the request, when the maximum quantity of LI sessions has not been initiated; determining whether at least one LI session exists that is associated with a lower priority than the particular priority, when the maximum quantity of LI sessions has been initiated; and terminating a particular LI session associated with a lowest priority and initiating a new LI session based on the received request, when the at least one LI session associated with the lower priority exists.