Don't do it.....unless.
You can get the same cartridge in the new turntable. Every make and model of turntable cartridge creates a slightly different wear pattern on your vinyl as does each turntable. I went from an old Philips 212 to a new Technics only because the Philips died. The Technics was digging grime out of the tracks that I didn't even know was there and the pops etc. were awfull. Your records are used to the old turntable, stick with it as long as it works.