Wenger has previously stated that finishing fourth is his minimum target for the season and he wants his side to build on the impressive form they have displayed in 2013.
"Last year we made 70 points and finished third," said Wenger. "This year, we can make 73 points and finish fourth so what you want to do is have a consistency and fight for the Premier League.
"What I said is [finishing fourth is] the minimum required. You could see that when Chelsea's Champions League position was under threat, they came out quickly and said 'no, what is most important for us is to be in the Champions League next year.'
"It is difficult to achieve but we have done it over the years. Is it enough? No. We want more. But this year, Manchester United was above everybody else."