Neither of the sides have had a game refereed by the North Lincolnshire official so far this season.
The last time Neale Barry took charge of a Blues fixture was in the 0-0 draw against Chelsea at St Andrew's on 14th October. Blues had two players booked that night, Christophe Dugarry and Aliou Cisse, neither of whom are still at the club.
Mr Barry's last game in charge of a Fulham fixture was also against Chelsea. Luis Boa Morte and Sylvain Legwinski both receiving yellow cards in The Cottagers 2-1 defeat at Stamford Bridge on 20th March 2004.
So far this season Neale Barry has officiated seven games and handed out eleven yellow cards but no reds.
Mr Nigel Bannister and Mr Darren Cann will be Neale Barry's assistants for the tie at St Andrew's on Wednesday, 27th October.
For a detailed head-to-head between the two sides, click here