The Lions have been closely monitoring the former Den loanee throughout January and could make a move to sign the 25-year-old hitman on loan.
The ex-Bristol Rovers star scored two goals in ten appearances for Millwall while on loan at the club from Watford in 2007.
Brighton this morning signed Wolves striker Sam Vokes and Seagulls boss Gus Poyet is keen to sign another forward before Tuesday's 11pm deadline – which would clear the way for Hoskins to leave the Amex on a temporary basis.
Bournemouth last week failed with a £450,000 bid to sign Hoskins permanently, with Poyet claiming he is unwilling to sell any of his players.
However, it is understood the Uruguayan would be prepared to sanction a loan move for the out-of-favour striker providing he brings in an adequate replacement first.
Millwall have been asked to be kept informed of developments and could turn to Hoskins if they fail to source another striker before the close of the January window.
Meanwhile, The Sun claims Colchester striker Kayode Odejayi could also be a late target for the Lions. The Essex club reportedly need to reduce their wage bill and could sell the 29-year-old at a cut-down price.