Lloris, who was partially culpable for Burnley 's goal because he spilled Jay Rodriguez's shot for Wood to score, was heartened Spurs had stopped the rot ahead of their Champions League showdown with RB Leipzig.
“All the players were angry with the first-half performance," said the France goalkeeper. “We could talk for many hours about what happened, but we have to show more.
“We have to stay positive and in the second half we could have won it. I don't know what's going to happen between now and the end of the season, but we have to keep faith.
“We have stopped the negative run, but it's not enough because we wanted to win."
Tottenham remain outsiders to qualify for the Champions League for a fifth consecutive season in a campaign that has been distinctly underwhelming.
They have won just 11 and lost 10 of their 29 Premier League games and Lloris admits it has been difficult because of the turmoil at the club.
“We've had a very difficult season," he said. “We had a bad start, a new manager, a lot of injured players and you can feel that things are against us.
“You can see players fighting and giving their best. The confidence is not right up there. But we are working to finish the season as well as we can."