The 45-year-old former Tottenham Hotspur defender's work with the Exiles in getting them back into the Football League has not gone unnoticed and he has been linked recently with the Gillingham manager's job.
County have announced, however, that Edinburgh has extended his contract by a year until 2017 as he looks to guide the side to promotion from League Two.
Newport currently sit in 5th place although they were heavily beaten at Cambridge United last time out.