Gallas twice finished top of the league with Chelsea and he can sense a similar success story developing at White Hart Lane this term.
"We have the look of the champion," he said in The Times.
"I have won trophies and I know what it feels like to win and it is quite possible to do something here too.
"Against West Brom and Fulham we have not played as well. It was the same when I was at Chelsea when sometimes we did not deserve to win a game, but with luck we won 1-0 or maybe 2-1, and it is a little bit like that with Tottenham.
"You play for success, you play to lift yourselves, so now we have to believe in ourselves, work hard to try and catch City.
"It is very wonderful to see how we play and we can win every game.
"But we should not forget that City are on top and Arsenal are back. It is very important to show again what we can do this season."