Adam Barrett, Gary Rowett and Wycombe boss Gareth Ainsworth are the three candidates Millwall are considering to fill their managerial vacancy.
The Championship club are conducting a thorough interview process, and an appointment is not expected this week.
Barrett is in caretaker charge of the Lions, and led them to a win over Leeds, while Rowett has been out of work since leaving Stoke in January.
Ainsworth is the second longest-serving manager in the English Football League.
The 46-year-old was given permission to talk to League One rivals Sunderland last week, with the Black Cats also searching for a new boss after sacking Jack Ross.
Former QPR midfielder Ainsworth has been in charge at Wycombe since 2012, having initially been appointed as player-manager, and guided the Chairboys to promotion from League Two in 2017-18.
Rowett, 45, has previously had spells in charge of Burton Albion, Birmingham City and Derby County.
Barrett was first team development coach at The Den before the 39-year-old was appointed caretaker manager when Neil Harris stepped down as manager on 3 October.