N.J. Stat. Ann. § 19:13-20.1

If there is no candidate on the primary election ballot of a political party for nomination for election to a public office in the general election and no write-in candidate for nomination for that office receives the minimum number of write-in votes necessary for nomination at a primary election pursuant to section 1 of P.L.1981, c.264 (C.19:14-2.1) and R.S.19:23-8, a vacancy shall not be deemed to exist and the provisions of R.S.19:13-20 shall not be applicable.