The West Bromwich Albion coach is reportedly in talks with one of Oxford United and Portsmouth's league rivals.
The right-back, who won a Premier League title with Leicester City, is said to have recently trained with Huddersfield Town's Championship rivals, West Bromwich Albion.
Leeds United look set to miss out on defender Saul Shotton.
Simpson was released by Leicester City at the end of last season and is now training with West Bromwich Albion's upcoming opponents Huddersfield Town.
Premier League duo Manchester United and Watford have made late moves for Saul Shotton - but he's set for Championship challengers West Bromwich Albion.
Championship promotion chasers West Bromwich Albion are reportedly set to sign Saul Shotton from Bury.
West Bromwich Albion have hired the man who brought us Callum Wilson and James Maddison at Coventry City.
Saul Shotton is reportedly set for West Brom but Championship rivals Derby County, Sheffield Wednesday and Preston North End are all interested.
Free agent Saul Shotton has attracted interest from Leeds United and Watford but he is heading to the Championship with West Bromwich Albion.
Kenneth Zohore hasn't scored a goal from open play since joining West Bromwich Albion - now Dwight Gayle could return to the Championship.
The Hoops brought a point back to Parkhead but Neil Lennon's side controversially finished the game with ten men.
Ibrox side Glasgow Rangers will take on St. Johnstone in what will be Steven Gerrard's 75th game in charge.
Harry Kane was frank with his comments about his Tottenham Hotspur teammates when asked on Wednesday evening.
Steven Gerrard led Rangers to victory in their Europa League opener against Eredivisie outfit Feyenoord at Ibrox.
Theo Walcott hasn't started a game for Everton in the Premier League this season.
Leeds United signed Eddie Nketiah and Ben White on loan from Arsenal and Brighton and Hove Albion respectively in the summer transfer window.
Rangers had a pretty busy transfer window with their standout purchase being winger Ryan Kent.
Tottenham Hotspur attacker Erik Lamela failed to have the desired impact after being brought off the bench against Olympiacos.
Dele Alli endured a difficult night in his first start for Tottenham Hotspur this season, as Mauricio Pochettino's side let a two-goal lead slip against Olympiakos in the Champions League.
Tottenham Hotspur failed to win against Olympiakos on Wednesday.