The West Ham United loanee has been in top form at Upton Park.
Arsenal is quoted by Arsenal's official website as saying, regarding the matter of Jenkinson's future:
“I met Carl this week to speak about his future. We will sit down together at the end of the season, but my target is to keep him here at the club.
“He has had a great season for me and he has moved forward and overall he has gained a lot of confidence. The decision I have to make is do I bring him back now or does he need one more year now to play in the Premier League. It is not decided yet.”
“He needs experience. Carl is a young, very promising right back with top quality and he had a good year where he has really moved forward. It’s important that he has a good chance to play if he comes back.”
Jenkinson has had an exceptional season out on loan at West Ham United. The one-cap England international left The Gunners after they signed Mathieu Debuchy and Callum Chambers in the summer, leaving him third-choice right-back.
With the emergence of Hector Bellerin this term he is now perhaps the fourth-choice - so Wenger certainly has a task on his hands convincing Jenkinson that he will get regular first-team football at The Emirates.
Of course West Ham will want him to stay. His performances, along with opposite full-back Aaron Cresswell's, have been integral to a solid campaign from Sam Allardyce's men.
Arsenal however seem to be adamant on the fact he will not be laving the club, least not permanently in the summer.
The Hammers may have to start looking for a new right-back in the summer.