The Arsenal midfielder helped his team to a 3-1 win at Blackpool on Sunday as the Gunners closed the gap at the top of the table to seven points, with a game in hand.
And although Arsenal face three tough matches in seven days against Liverpool,Tottenham and Bolton, United have an even heavier schedule - if they see off Chelsea in the Champions League, they will play eight games in 26 days.
Eyes on the prize: Wilshere (right) is confident Arsenal can catch rivals United
'United rotated their team against Fulham and did well,' said the Arsenal and England midfielder.
'But I think eventually playing in Europe is going to catch up with them. 'We have a week between every game so it can only be good for us.
'We have a game in hand and United have still got to come to the Emirates. If we win those games we are within one point of them. We are confident they will drop points. We are ready to take advantage if they slip.'
Fight to the finish: Arsenal have still to host United, who won 1-0 in the reverse fixture in Decemebr
Wilshere expects there to be yet more twists and turns during the final weeks of the season and refused to rule Chelsea out of the title race.
'It's football, anything can happen,' he said.
'We know that United, and maybe Chelsea as well, are going to drop points. I think there are still three teams in this, it's going to go all the way to the end and we have to keep battling every week.'
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