Liverpool boss Brendan Rodgers says Raheem Sterling "is being led by his representative" as he seeks a move.
Aston Villa manager Tim Sherwood has revealed in-demand defender Ron Vlaar has told him he wants to stay at the club.
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.