The 28-year-old warns the club's new keeper that he is likely to have to be content with a place on the bench and will have to wait for his chance to shine 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 the American.
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Assou-Ekotto told RMC: "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 who 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 that Friedel was still the club's first-choice keeper, which prompted France coach Didier Deschamps to speak out on Lloris' situation.