The Belgian has been sidelined since being hurt in the 4-0 Champions League victory over Malmö on 20 October – the same match in which fellow forward Timo Werner pulled his hamstring.
Neither player has played since, although Blues head coach Thomas Tuchel had been targeting a return for the pair following the November international break.
Midfielder Mateo Kovacic suffered his own hamstring injury in training in late October, joining Lukaku and Werner in the treatment room.
Speaking ahead of Chelsea’s last Premier League game before the pause, Tuchel said: “If I give you any date now I need to confirm or give other dates. We have the national break now then we will be more clear.
“We will use the time and see what is going on during the second week of the national break. If you ask me the question and I can be more precise than now. We will use the break, have every day treatment for him, Timo and Mateo to bring them on the pitch as soon as possible.”
With the international break drawing to a close, there has been scant news about Kovacic and Werner, but Lukaku has posted a positive update on his recovery.
The Belgium international shared a number of photos of himself running on the grass at Chelsea’s Cobham training ground across his social media channels, raising hopes that he might be able to play some part when the Blues travel to face Leicester on Saturday.