Jones was part of Darren Moore's West Brom coaching setup at The Hawthorns but was relieved of his duties with the Baggies in March.
Graeme Jones and Darren Moore were surprisingly sacked on Saturday with West Bromwich Albion sitting fourth in the Championship table.
West Bromwich Albion coach Graeme Jones has been approached by the League One high-flyers on two previous occasions.
Will Graeme Jones stay at Championship hopefuls West Bromwich Albion until the end of the season? League One Luton Town need a manager.
Graeme Jones was only appointed as Darren Moore's assistent coach at West Bromwich Albion in the summer but he could leave the Championship side.
Championship outfit West Bromwich Albion have been linked with Blackburn Rovers' Bradley Dack, Aberdeen's Scott McKenna and Rangers' James Tavernier.
Gareth Barry has featured just seven times in the Championship for West Bromwich Albion this season.
West Bromwich Albion battered Championship title rivals Leeds United 4-1 at the Hawthorns before the international break.
West Bromwich Albion's Championship rivals Aston Villa are reportedly holding talks about making Thierry Henry their new manager.
Nacer Chadli was expected to leave West Bromwich Albion after their relegation to the Championship, but remains at The Hawthorns for now
Xherdan Shaqiri joined Liverpool in the summer of 2018.
Leeds United reportedly baulked at the South American's price-tag.
The Tottenham Hotspur striker is a vitally important player for Mauricio Pochettino's side.
Gary Hooper won two Scottish Premiership titles with Celtic and he's now a free agent after leaving Sheffield Wednesday.
Steven Gerrard's Glasgow Rangers have bolstered their ranks this summer as they hope to knock Neil Lennon's Hoops off their perch and bring silverware to Ibrox away from Parkhead.
Spurs are heading to M11 on Saturday as Mauricio Pochettino seeks to deliver an early blow to Tottenham's Premier League rivals.
The Rangers manager Steven Gerrard added the midfielder to his Ibrox ranks on Thursday.
Ben White joined Leeds United on loan from Brighton and Hove Albion in the summer transfer window.
Arsenal new boys are in contention to start.
The Tottenham Hotspur defender has only recently returned to full first-team training.