The competition for those two places will be with Aaron Ramsey, Mathieu Flamini and, once he has recovered from injury, Mikel Arteta.
Tomas Rosicky, whose thigh strain is almost certain to rule him out of the match against Sunderland on Saturday, and even Alex Oxlade-Chamberlain will also come into consideration.
All things being equal, Wilshere is still likely to start alongside Ramsey who has been, by some distance, Arsenal's best player this season.
Arteta, though, has been just about the first name on Wenger's team-sheet since he signed from Everton two years ago. Flamini also looked the part during his substitute appearance against Tottenham, even if he was fortunate not to be sent off. It all adds up to a legitimate debate over whether Arsenal's midfield is more balanced with or without Wilshere in the team.
To be hypercritical and Wilshere clearly has a myriad of great qualities there is a theory that he sometimes dwells on the ball for just too long and, in consequence, can slow down the pace of the game.
It was certainly noticeable during the goalless draw against Ukraine on Tuesday that he struggled against the high-tempo pressing game of Taras Stepanenko and Edmar Halovskiy.
He spent much of the match on the floor after being jostled off the ball but it was at least encouraging to hear him embrace the learning experience.
"It was my biggest international game, my first big one away so it was a hostile atmosphere," Wilshere said.
"It was good for me. I had a lot of experience around me and they helped me. You can't just give that to anyone. It comes over time." His lack of experience was not the only mitigating factor.
Both Hodgson and Wenger agree that Wilshere is still not fully match fit following his latest ankle injury and he has only completed the full 90 minutes four times since the end of February.
It has left him working to break out of a vicious circle. Wilshere needs match fitness but, after two operations, Wenger clearly still has concerns about his recovery.
"I don't want to make a mistake and overuse him because the ankle is the most important part of any football player," Wenger said.
"I would be more cautious with Jack until we feel he is completely free from any risk."
Wenger will also be well aware that Arsenal have coped when he has not been available, notably during last season's highly pressurised run-in.
If Wilshere wants to look anywhere for inspiration, it is across Arsenal's central midfield to Ramsey. He suffered his leg-breaking tackle in 2010 18 months before Wilshere's first stress fracture and is only now realising his full potential.
Wilshere's situation is compounded by the fact that he actually endured much longer on the sidelines a total of 17 months than Ramsey did with his injury. He is also still only 21.
There is plenty of time to realise his potential and prove that comparisons with Paul Gascoigne, Xavi and Andres Iniesta were not hollow hyperbole.
He was, after all, good enough at the age of just 19 to be the man of the match in a 2-1 win against Barcelona in 2011. He was also England's best player when they beat Brazil in February.
The bottom line is that Wilshere needs patience. Even so, the assumption that he will automatically realise his supposed destiny as an all-time Arsenal and England great should no longer be taken for granted.