After the 3-2 defeat to Brighton on August 19, both Martial and Bailly were dropped from the squad for Mondays fixture against Tottenham at Old Trafford.
The duo were not injured for the 3-0 defeat to Spurs and have taken part in training this week, which included a light session at Carrington on Saturday.
According to Manchester Evening News, Martial and Bailly were with the rest of the United squad at The Lowry Hotel on Saturday evening and are due to travel to Turf Moor on Sunday.
Juan Mata, who was dropped for the clash with Spurs on Monday evening after Uniteds poor performance against Brighton, was also with his United teammates at the hotel.
The report also claims that Andreas Pereira and Matteo Darmian were not seen entering the hotel, which could mean that they will play no part against Sean Dyches side.
Sergio Romero stepped up his recovery from a knee injury by playing for Uniteds Under-23s on Friday evening and is now in the first-team squad.
Summer signing Diogo Dalot also played in that match against Stoke Citys Under-23s but will make his debut after the international break.
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