Lloris has only just made his Premier League debut after playing second fiddle this season to Brad Friedel.
He told L'Equipe: "About (the) rumours and what happens inside the club, everything has gone off smoothly.
"There are four keepers at a high level, the coach makes his choices, I have just been hired as part of the future project, but that project starts now. The relationship with Brad Friedel, the keepers' coach and manger are very good.
"I have not signed at Tottenham to play that [substitute] role, but I am at the disposal of the team, I respect everyone, but I came to play.
"Do I have guarantees for the future? No, I have not. The coach will make his choices. I just came into a new club so I am not here to create trouble, but rather to bring solutions."