Method for the production of a hollow fibre membrane module from at least one band-form mat with individual hollow fibres arranged next to one another, and which is wound onto a second, cylindrical winding core such that a wound hollow fibre bundle is formed, wherein the second winding core is formed from at least one part, comprising the following steps: • Transport of the mat from the first winding core in the direction of the second winding core at a variable speed v m, wherein the mat rests on a band-form deposition element (109, 109'), which is moved at a variable conveying speed v m, and wherein the speed v m is synchronised with the conveying speed v f; and • Region-wise wetting of the mat with a casting compound during the transport of the mat on the deposition element (109, 09'), wherein at least one uniform and/or non-uniform wetting contour (305, 306) is formed on the wetted mat, wherein the method comprises the following further characterising steps: • Unwinding of the mat from a first cylindrical winding core, • Mounting of a first core part of the second winding core onto a first receptacle, wherein the first receptacle has a magnet; • Mounting of a second core part of the second winding core onto a second receptacle, wherein the second receptacle has a centring element; wherein • The first core part and the second core part are formed as tubes; wherein • The centring element has a centring tip for purposes of centring the second core part via the centring element on the second receptacle, • The interior of the second core part has an inlet contour with a bore, which is used to centre the second core part on the centring element, • The first core part is closed at one end, and the first core part is mounted on the first receptacle such that the closed end is arranged above the magnet, and the third core part is accurately arranged in a position between the first core part and the second core part, • Positioning of a third core part of the second winding core on the first receptacle, wherein the third core part is magnetic and adheres to the magnet of the first receptacle; • Positioning of the second receptacle opposite the first receptacle, wherein both receptacles can be axially aligned, wherein, • After the individual core parts of the second winding core are aligned, positioned on the receptacle, the second receptacle is driven in the direction of the first receptacle until the centring tip contacts the third core part, and is then axially aligned. • Transport of the mat from the first winding core in the direction of the second winding core at a variable speed v m, wherein the mat rests on a band-form deposition element (109, 109'), which is moved at a variable conveying speed v m, and wherein the speed v m is synchronised with the conveying speed v f; and • Region-wise wetting of the mat with a casting compound during the transport of the mat on the deposition element (109, 09'), wherein at least one uniform and/or non-uniform wetting contour (305, 306) is formed on the wetted mat, • Unwinding of the mat from a first cylindrical winding core, • Mounting of a first core part of the second winding core onto a first receptacle, wherein the first receptacle has a magnet; • Mounting of a second core part of the second winding core onto a second receptacle, wherein the second receptacle has a centring element; wherein • The first core part and the second core part are formed as tubes; wherein • The centring element has a centring tip for purposes of centring the second core part via the centring element on the second receptacle, • The interior of the second core part has an inlet contour with a bore, which is used to centre the second core part on the centring element, • The first core part is closed at one end, and the first core part is mounted on the first receptacle such that the closed end is arranged above the magnet, and the third core part is accurately arranged in a position between the first core part and the second core part, • Positioning of a third core part of the second winding core on the first receptacle, wherein the third core part is magnetic and adheres to the magnet of the first receptacle; • Positioning of the second receptacle opposite the first receptacle, wherein both receptacles can be axially aligned, wherein, • After the individual core parts of the second winding core are aligned, positioned on the receptacle, the second receptacle is driven in the direction of the first receptacle until the centring tip contacts the third core part, and is then axially aligned.