If the Gunners win each of their remaining 11 games, starting with Sunderland at Emirates Stadium on Saturday, they will be crowned champions.
Arsenal trail United by four points with a game in hand and the May Day showdown in north London between the title rivals looks to be pivotal.
But Wenger insists that as leaders, Sir Alex Ferguson's men remain in the driving seat.
"No, it's not ours to lose, it's United's to lose. If you look at the bookmakers, they favour United," he said.
"Mathematically it's in our hands but that doesn't mean that it's our to lose because if you look at the fixtures, we have difficult games.
"And I would say exactly the reverse: it's ours to win more than ours to lose, because they are in a leading position.
"So it's down to us, to our good behaviour, to win it.
"I don't count too much on United feeling the pressure. I count more on my team than on any weakness of them."
Arsenal's cause was given an enormous shot in the arm with United's defeat by Chelsea in midweek.
"It was all United in the first half and all Chelsea in the second," said Wenger.
"When Chelsea stepped it up, you could see it coming, especially after Wayne Rooney missed the chance to make it 2-1.
"You cannot say United's form has been poor - they have been dominant at home - and we should not expect any weakness from them."
Aaron Ramsey is included in the squad for today and could make his first Arsenal appearance since breaking his leg at Stoke in February last year.
Wenger says Ramsey is showing no lingering after-effects from the injury and stresses his case is different to that of Eduardo.
"Eduardo had problems with the limitation of his ankle mobility when he came back - he was not able to bend his ankle completely when running at full speed," he said.
"He needed second surgery, but Aaron has no limitations in his movement.
"I don't see any problems with Ramsey's commitment in tackles."