The striker finished the season with 25 Premier League goals, but had struggled early on.
The in form striker has been linked with a move to Leeds United in the past.
Rodgers is said to have held talks with the Bhoys this week, having left Anfield in October.
Bruce's Hull stand in Wednesday's way of a Premier League place.
The Glasgow club have won the Scottish Championship and are taking on Hibs this weekend in the Scottish Cup Final.
The former Celtic midfielder believes Rodgers has what it takes to manage Celtic.
HITC Sport understands former Fulham boss is contender for Charlton job.
The former Liverpool defender says the midfielder has been "completely transformed" at Anfield under Jurgen Klopp.
Glasgow Rangers have enjoyed a tremendous first season with Mark Warburton at the helm at Ibrox.
Tigers stars were apologetic after the nerve-wrecking home defeat on Tuesday, but delighted to reach Wembley.
The pundit thinks former club Tottenham, not Arsenal or Manchester City, pose the biggest threat to the Foxes.
HITC Sport understands former Birmingham and Blackpool boss set for managerial return in Scotland.
Garth Crooks has hailed Newcastle new boy Jonjo Shelvey - but rued their inability to sign Saido Berahino.