But West Brom and Everton are both still above Arsenal - and Wilshere admits it is growing ever more difficult to make the top four as the quality of the Premier League improves.
"The league is getting better and better every year," said Wilshere. "There are new players coming from different countries and the intensity of the league is getting much more quicker.
"We know we have got Everton a couple of weeks away and some night game which is going to be and going to be difficult.
"West Brom, Everton, Tottenham and Liverpool - who have got a great squad now - are going to be difficult, but we have got to keep getting the three points and really push on."