The 28-year-old has warned the club’s new keeper that he is likely to have to be content with a place on the bench at White Hart Lane
Lloris joined the north London club on transfer deadline-day but despite being France's No.1, he faces a challenge getting into the starting line-up following an excellent start to the season by Friedel.
Assou-Ekotto, who played in France for Lens, believes the former Lyon stopper is likely to have to wait for Friedel to make a mistake before he gets an opportunity to establish himself in the Premier League.
Speaking to RMC, the left-back said: "It won't be easy for him because there is competition.
"No.1 keeper in the French team or not, he will have to fight to get the position in the team. We currently have a keeper that doesn't make any mistakes, who is very well-known in Great Britain.
"To start I believe Lloris will be No.2. If our keeper doesn't make any mistakes there is no reason to change."
Spurs boss Andre Villas-Boas recently stated Friedel was the club's first-choice keeper, which prompted France coach Didier Deschamps to speak out on Lloris' situation.