Tottenham were the side pushing for a winner against Manchester United as the game progressed, with midfielder Ryan Mason guilty of missing the best chance to wrap up the win for the hosts.
But United could have been out of sight by then had it not been for the heroics of Lloris, who praised the fitness of his team-mates.
“We finished the game stronger than United physically and we were close to getting a chance to score,” the Frenchman told Tottenham’s official website.
“I think overall the draw was fair because in the first half they had some good chances. But we were strong and after that, we know we have the quality to score a goal at any moment.
“Manchester United have a lot of world-class players and they showed it. They could be a challenger for the title as well, so it’s good for us not to concede three points to them and the draw helps us to stay close to the third position.”
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