The invention relates to a stator housing assembly (3) for a pump (2) having a wet-running electric motor (8) having a stator housing (4) and a can (6), wherein the stator housing (4) and the can (6) are designed as a single component (3). A stator housing assembly (3), particularly of the type described above, comprises at least one engagement element (310) for positively connecting to a pump housing (14). The pump (2) according to the invention comprises a stator housing assembly (3) of the type indicated above.