The Arsenal legend feels the Spaniard will make way for the 23-year-old midfielder in the long run.
Indeed, Keown feels the Spaniard has done 'remarkably well' this season but, due to his age, will be the man to eventually make way for Wilshere.
The midfielder, 23, has only recently returned from another one of his spells out injured, presenting boss Arsene Wenger with yet another selection conundrum in the middle of the park.
The Gunners have in the past seemed to do much better without Wilshere but the England man has plenty of supporters who believe he offers something different for the north London side.
Should the young midfielder stay fit, he can once again try to stake a claim for a regular first-team spot under Wenger next season.
The Arsenal icon said during a 'Tackle Keown' session on the Mail's website: "Against Sunderland he played wide on the right, which is obviously not his position. But there is a lot of competition in that middle area. Santi Cazorla has done remarkably well in the middle and deserves to be there on merit but Wilshere will take over from him in the long-term.
"It's quite a job for Wenger juggling that midfield but because of the way they have played recently it’s been much easier for him to pick a consistent team. If the team wins, then you keep your place."
Arsenal finish their Premier League campaign against West Brom, who this week beat Premier League winners Chelsea 3-0. The Gunners, meanwhile, drew 0-0 with Sunderland and look a long way off the potential title challengers many seemed to suggest they will be next term.