Having had to compete with veteran keeper Brad Friedel for a place in the starting lineup earlier in the season, summer signing Lloris has now become the club's main goalkeeper.
With that in mind, the 26-year-old has set his sights on improving as a player.
"I have fun every day. I am here to improve and push the limits in a different culture. It is important on a sporting level, but on a human level also," he told L'Equipe.
"I am still discovering the English stadiums, the perfect pitches and the atmosphere. I have great fun."
Lloris had spent four years with Lyon prior to joining Spurs.