A filter module provided with a housing (3) having an inlet (6) for a liquid to be filtered and an outlet (10) for filtered liquid, with a first filter element (7-9, 12) accommodated in the housing (3), in the form of a porous mass provided with a central through-opening, to which the inlet (6) connects, and with a second filter element (1) accommodated in the housing (3) in the form of a number of lengths of tube-shaped filtering membrane (2), which together define a cylinder shape, which cylinder shape, at at least one extremity, between the open-ended filter membranes (2), is filled up with a sealing material, to which extremity the outlet (10) connects. The inlet (6) connects to the central through-opening of the first filter element (7-9, 12), which is surrounded by the second filter element (1), which has the form of a tubular casing obtained by winding from tube-shaped filtering membrane (2).