Steve Clarke has confirmed Brown will be part of his squad for the trip to West London and he could be named on the bench at the tender age of 16 years and 54 days.
If the England U17 international does feature at some point, he will surpass Fulham's Matthew Briggs' previous record, set in 2007, by 11 days.
Albion have been struggling with injuries and had to seek permission to take Brown out of school to train with the squad this week.
The teenager has been part of Albion's academy set-up for the past three years, with Arsenal understood to be tracking his progress after he impressed for their U18 and U21 sides.
He is currently studying his GCSE exams but West Brom's recently acquired status as a Category One academy means they can take over young players' academic studies.
Brown would also be Albion's second youngest debutant if he plays, behind only Frank Hodgetts, who was 16 years and 26 days when he appeared against Notts Country in 1940 in a war-time contest.