A filter and pump unit is proposed for the filtering out of particles from a fluid, there being a filter housing (2) which bounds a filter space (3) and has an inlet (21) and also an outlet (22) for the fluid to be filtered as well as a filter element (4) provided in the filter space (3), the filter element demarcating an inlet region (31) from an outlet region (32) of the filter space (3), with the inlet region (31) communicating with the inlet (21) and the outlet region (32) communicating with the outlet (22), there also being an impeller (5) which, as part of a rotary pump, can pump the fluid from the inlet region (31) through the filter element (4) into the outlet region (32), characterized in that a flow connection (6) is provided between the outlet region (32) and the impeller (5) so that at least a part of the fluid can flow back from the outlet region (32) to the impeller (5). Furthermore, a method for the filtering out of the particles from a fluid is proposed.