The present application relates to a method for producing a housing for an axial turbomachine compressor having a metal sheet with annular rows of stator blades which are welded to the metal sheet. The method includes the steps of: (a) providing or producing a planar metal sheet with a step of machining in order to form blade stumps; (b) welding stator blades of friction to one of the planar faces of the metal sheet, the blades being arranged so as to form parallel straight rows of blades; (c) bending the metal sheet about a bending axis perpendicular to each row of blades, so as to form a half-tube with annular half-rows of blades which are axially spaced apart, and producing annular grooves by rolling; (d) welding annular flanges and axial flanges; (e) application of annular layers of abradable material.