Villa manager Steve Bruce is keen on a loan move for Jenkinson, who has struggled since returning from injury earlier this season.
Reading's Callum Harriott in action with Arsenal's Carl Jenkinson
Jenkinson spent the two previous seasons on loan at West Ham, and has failed to impress for Arsenal despite an opportunity due to injury to Hector Bellerin, who is now close to a return.
It would not be a surprise to see Villa move for Jenkinson, given Steve Bruce's previous admission of interest in the right-back.
Bruce was linked with a deal for the defender during his time in charge at Hull City, and admitted he would be keen on a loan move.
Quoted by The Independent in 2014, Bruce said: "I had a conversation with Arsenal four or five weeks ago to say 'would it be possible?', and apparently it might be.
"We'll look at that situation. We haven't had confirmation from Arsenal and I would hate to upset them by speaking out of turn but we are led to believe the kid might be available for loan.
"If he is, then of course we would be interested."
New Aston Villa manager Steve Bruce
Bruce was beaten to the deal by West Ham, who themselves have no need for Jenkinson now, with Arthur Masuaku and Sam Byram both options at right-back, while Jenkinson split opinion there last season.
A chance to play in the Championship away from the glare of the Premier League could be just what Jenkinson needs to rediscover his confidence, and Bruce is clearly a manager who believes in him, and may be able to get the best out of the one-cap England international.