He moved to Tottenham Hotspur for £150,000 in January 1990, initially on loan. He joined Spurs permanently in July 1990, making his debut for them on 10 November 1990, as a substitute in a 4–2 win at home to Wimbledon. He played for Spurs for most of the 1990s. He won an FA Cup winner's medal in 1991 despite just previously starting only 12 league games. He would also win a League Cup winner's medal with Spurs, in 1999. This second medal was awarded to Edinburgh despite his being sent off in the final for raising his arms to Robbie Savage, as the post-match analysis showed that Savage had distinctly over-reacted to a minimal contact and that the red card was unjustly awarded. In total, he made 213 league appearances for Tottenham, scoring once.