Spurs took control of their Champions League round 16 tie with a 3-0 first-leg win.
Lloris beamed: "With the same mentality and spirit, we can look to big things.
"In the first half we didn't play like we wanted but in the second half we increased our level."
Goalscorer Jan Vertonghen added: "We knew we would come up against a very good team. We played them last season and they have only improved compared to last time.
"1-0 in the first leg is a good result, but they dropped a bit and we were able to benefit from that."