Jones is back in action after serving a three-match suspension following his dismissal against West Ham.
The Trinidad & Tobago international will start alongside Darren Bent as Black Cats boss Steve Bruce reverts to a 4-4-2 formation.
Jones' return forces a positional switch that sees Kieran Richardson drop out of midfield to replace George McCartney at left-back.
The only other change to the side that lost 1-0 at Wigan sees Anton Ferdinand replace Paulo Da Silva at centre-back.
FULHAM (4-4-2): Schwarzer; Pantsil, Hangeland, Hughes, Konchesky; Nevland, Baird, Greening, Duff; Dempsey, Zamora.
Subs: Zuberbuhler (gk), Seol, Gera, Murphy, Riise, Smalling, Dikgacoi.
SUNDERLAND (4-4-2): Fulop; Bardsley, Turner, Ferdinand, Richardson; Malbranque, Cana, Henderson, Reid; Jones, Bent.
Subs: Carson (gk), Nosworthy, Zenden, Campbell, Murphy, Da Silva, Healy.