Stoke City chairman Peter Coates says the club are determined to keep hold of goalkeeper Asmir Begovic this summer.
Manchester City defender Aleksandar Kolarov wants to return to Italy to play in Serie A.
Hulse is well down the pecking order at Loftus Road and has not featured for them this season after being left out of their 25-man Premier League squad.
Hulse scored three goals in 15 appearances for Charlton in a three-month loan spell at Charlton earlier this season.
Millwall have been in the market for forwards after seeing Darius Henderson leave for Nottingham Forest and Chris Wood head to Leicester.