Purrington, 20, has helped Plymouth to second in League Two this season, with the Pilgrims holding a seven-point gap on fourth-place Portsmouth, and was named the division's PFA fans player of the month for October.
Ben Purrington (C) celebrates after scoring for Plymouth
He is out of contract next summer, however, leaving Derek Adams' side vulnerable to offers in the upcoming transfer window.
New Villa boss Steve Bruce is reportedly keen to strengthen in Purrington's position this winter, with Charleroi's Francis N'Ganga linked earlier this month (the Sun), while Wednesday have preferred to use winger Adam Reach there of late.
New Aston Villa manager Steve Bruce
The Owls signed free agent Urby Emanuelson in September, but the Dutchman was short of fitness and is yet to appear for Carlos Carvalhal's side.
Exeter-born Purrington has made 58 career appearances to date and would likely be viewed as one for the future by both clubs, with Jordan Amavi and Daniel Pudil having established themselves as first picks at Villa Park and Hillsborough respectively.
As well as Villa and Wednesday, second tier sides Blackburn Rovers and Fulham are also said to have checked on the Plymouth man, who has previously caught the eye of Premier League pair Stoke City and Crystal Palace.
Plymouth's Ben Purrington applauds the travelling fans