Or source a set of HSS die head cutters and silver solder one to the end of a piece of steel. This will cut and "chase" at the same time, handy for cutting other diameters with a 1mm pitch.
Ray I have a lot of thread chasers that I aquired of various pitches,if I have a 1mm pitch you can have one.I will look tomorrow and inform you if I have one.I have used them with all but one of the teeth ground off for thread cutting ,it saves grinding a tool to shape and is bound to be right.