With more than three months and a third of the season remaining, Wenger's remarks represent a surprising and unusual concession to Sir Alex Ferguson, his great managerial rival, though also a realistic assessment of the situation.
"We are on a very strong run at the moment and we have promised to give everything until the last day of the season, but at the moment Manchester United look untouchable," Wenger said. "You always think they will drop a point or maybe more than a point but, no, they always manage to find from somewhere the resources to win the game.
"They are 12 points ahead of us and they have a game against Fulham which they will certainly win. If they win that they are 15 points in front and that means they need to lose five games.
"Let us say they lose one against us, that still leaves four. They still need to lose four other games, which they haven't done yet this season. But our basic target is to get into the Champions League and therefore the championship remains a priority."
Arsenal lie five points behind Chelsea in fifth place, and their hopes of climbing back into the top four have been boosted by the return of Eduardo, who hopes to add some momentum to the club's inconsistent season.
"I think we have three or four months until the end of the championship – I am here to help Arsenal to be on top of the Premier League or in the first three," he said. "Now we are in the FA Cup, I want to get to the final and in the Champions League we want to go far."
Eduardo paid tribute to his wife after he had opened the scoring against Cardiff on Monday, but when he claimed his second goal his immediate priority was to celebrate with Arsenal's fitness coach, Tony Colbert. "We worked hard and he was like my second father," Eduardo said.
There was also positive news regarding Arsenal's captain, Cesc Fabregas, who will begin training with the ball next week after a knee operation.
"It's time for me to be back at the club," he said. "There are three stages in the rehabilitation: the first is the operation, the second is to build the muscle in the leg up, and the third is to start running and kicking the ball again. I have now started the final part."
Marseille, meanwhile, have suggested that Chelsea's Didier Drogba could take a pay-cut to secure a return to his former club.