The Catalans sit three points behind the capital club, but can clinch the Primera Division crown on head-to-head if they beat Diego Simeone's men at Camp Nou next Sunday.
Martino believes that the fans could be key, but has admitted that he was left frustrated by the 0-0 draw with Elche this weekend.
"We’re going to need the fans’ support. And because, in short, it’s been a season where we haven’t shone, with the fans behind us we can win the league," he told reporters.
"In light of the other results we’ll take the draw. But it’s not what we wanted. Before the game we thought it wouldn’t be enough, but the other results leave us with a chance.
"We were always waiting to hear, particularly in the second half. We found it hard to break the deadlock.
"[Gerard] Pique calmed everyone down when he said the Atletico game had finished.
"At the end we didn’t know if we were taking too many risks or if they scored it would take us out of the race.
"I don’t know if we were lacking something but we gave everything to win.”