A method is provided for producing solid cellulose filaments or films from a solution of cellulose, NMMO (N-methylmorpholine-N-oxide) and water, including pressure-extruding the solution by one or more extrusion openings and by solidifying the filaments or films in a precipitation bath. The solution is guided between the extrusion opening and the precipitation bath by an air gap, the temperature of the solution on the extrusion opening being lower than 105° C. and the pressure difference in the air gap between the pressure of the solution immediately prior to extrusion and after extrusion is between 8 and 40 bar.