Bridcutt, who impressed on loan at Leeds United last season, has 12 months to run on his Stadium of Light contract.
The report implies the 27-year-old is being lined up as a replacement for midfield pair Carlos Sanchez and Jordan Veretout, who it states are closing in moves to Marseille.
Veretout looks set for a return to France
The link should come as no surprise given Bridcutt's association with Villa assistant Steve Clarke, who was on the staff at first club Chelsea.
The Reading-born player left the Blues for Brighton & Hove Albion in summer 2010 - a year before current Villa boss Roberto di Matteo returned to Stamford Bridge as number 2 to Andre Villas Boas - and was signed by Sunderland in a reported £3 million deal in January 2014.
Villa assistant Clarke has worked with Bridcutt before
Deemed surplus to requirements by Sam Allardyce last autumn, Bridcutt moved to Leeds for the remainder of the 2015-16 campaign.
Bridcutt at Leeds last season