The midfielder is also hoping that finishing third and avoiding a Champions League play-off will be a positive for next season.
It was another annoying night for Arsene Wenger’s side, with Swansea City having left London with all three points the game before having employed a similar tactic to the Black Cats.
Wilshere, though, says his side must be more patient as they try to break down stubborn opposition defences.
"I think we need to be a bit more patient,” he said.
“When we get the ball five yards outside their box, if we just keep it a bit longer and go from side to side we can maybe open up a few more spaces. We are always trying to work on our weaknesses and we will improve that next year.”
The midfielder has also spoken on how the rest of the squad are keen to secure third place in the Premier League, avoiding a Champions League play-off game in the process.
That is something the Gunners have become accustomed to over the years, but means they have to start their season earlier than they would like, and Wilshere says the added pressure, both mentally and physically, has negatively impacted on their performances at the beginning of previous campaigns.
“It will be different [to qualify automatically for the Champions League] because over the last few seasons we have had that, that season-defining moment right at the start,” he added.
“It is always a big thing and it takes a lot mentally and sometimes we start the season thinking about that and drop points in the Premier League. Hopefully we will start the Premier League a bit sharper and when it comes to this time next year we will be in a better position.”