France international Lloris was one of the stand-out performers for Spurs last season, who rallied to end the campaign in fifth place and so qualify again for the Europa League.
However, with David de Gea appearing set to leave Manchester United for Real Madrid, the 28-year-old Spurs skipper has been linked with a switch to Old Trafford for next season.
Lloris admits with Euro 2016 on the horizon, like any player, he is determined to test himself at the highest level.
In an interview with RMC Sport, Lloris reiterated his desire to get regular Champions League football.
He said: “This is the case for everyone, not because it is the season of the European Championships. It is a goal and a personal ambition.
“The Champions League remains an important competition, where the level is the highest in Europe, so obviously we want to participate and to rub shoulders with the biggest European teams. We work every day for that.”
Lloris, however, accepts he can only fulfil his ambitions with Les Bleus if he was number one for his club, something which would be open to interpretation where he to move to Old Trafford.
The Spurs captain added: “Dialogue and choices are important, but the most important thing is to have the ability to play lots of matches in order to put in the best performance possible and continue to be selected for the national team.
“I assume that the choices come naturally, so I am staying calm and seeing how things develop.”