An apparatus and method are provided for managing snoop operations. The apparatus has an interface for receiving access requests from any of N master devices that have associated cache storage, each access request specifying a memory address within memory associated with the apparatus. Snoop filter storage is provided that has a plurality of snoop filter entries, where each snoop filter entry identifies a memory portion and snoop control information indicative of the master devices that have accessed that memory portion. When an access request received at the interface specifies a memory address that is within the memory portion associated with a snoop filter entry, snoop control circuitry uses the snoop control information in that snoop filter entry to determine which master devices to subject to a snoop operation. The snoop control circuitry maintains master indication data used to identify a first subset of the plurality of master devices whose accesses to the memory are to be precisely tracked within the snoop filter storage. The first subset comprises up to M master devices, where M is less than N. Each snoop filter entry has a precise tracking field and an imprecise tracking field. When multiple master devices have accessed the memory portion associated with a snoop filter entry, then the precise tracking field is used to precisely identify each master device of those multiple master devices that is within the first subset. When the multiple master devices includes at least one master device that is not in the first subset, then a generic indication is set in the imprecise tracking field.