Spurs have to overturn a 1-0 deficit away from home in the second leg.
They produced a similar result against Ajax in the semi-final last season, and Lloris hopes they can do it again.
"I think we were were more proactive with the ball and managed to have more possession in the last 20 minutes," said the World Cup winner.
"It's true we have to give credit to Leipzig who played very high. They have a lot of energy and run a lot. We had some situations we could have managed better.
"There is a lot of quality in Leipzig and they showed it today. Because of all the circumstances against us in the past few weeks and months we have to stay positive. Not to find excuses... we have to be ready to fight.
"We're not really happy with the result, but we did it last season - let's hope we try to create another story."