The Manchester United striker, who has been out since he suffered an ankle injury last month against Arsenal, is desperate to make the Wembley showdown.
Lukaku spent last week back in his native Belgium working with their trusted national team doctors, who have continued to provide United's conditioning team with daily updates on his progress.
Old Trafford insiders have reportedly stated the £90m forward only started jogging again in recent days and the club will do nothing to put his dreams of playing at the upcoming World Cup finals in jeopardy.
Lukaku has bagged 32 goals in all competitions this season and will finish as United's top goalscorer regardless of whether or not he makes the showdown with former club Chelsea.
It is understood Lukaku will be assessed on Tuesday afternoon, when a decision will be made as to whether the powerful forward will be allowed to participate in training alongside the rest of Jose Mourinho's squad.