A system and method for reducing linear address aliasing is described. In one embodiment, a portion of a linear address is combined with a process identifier, e.g., a page directory base pointer to form an adjusted-linear address. The page directory base pointer is unique to a process and combining it with a portion of the linear address produces an adjusted-linear address that provides a high probability of no aliasing. A portion of the adjusted-linear address is used to search an adjusted-linear-addressed cache memory for a data block specified by the linear address. If the data block does not reside in the adjusted-linear-addressed cache memory, then a replacement policy selects one of the cache lines in the adjusted-linear-addressed cache memory and replaces the data block of the selected cache line with a data block located at a physical address produced from translating the linear address. The tag for the cache line selected is a portion of the adjusted linear address and the physical address produced from translating the linear address.