United claimed glory in the first domestic cup of the season last month and Erik ten Hag would love another.
The Red Devils saw off West Ham in the last round and will now take on another Premier League rival.
Fulham beat Leeds in the fifth round and can go all out in the cup having enjoyed a brilliant top-flight campaign.
But the Cottagers did lose to United in November, going down 2-1 in west London after Alejandro Garnacho's 90th winner.
Manchester United v Fulham: talkSPORT coverage
This FA Cup quarter-final will take place on Sunday, March 19.
Kick-off at Old Trafford is set for 4:30pm.
talkSPORT will have full coverage of the game with Adrian Durham as your host.
Live commentary will come from Jim Proudfoot and former England defender Micky Gray.
To tune in to talkSPORT or talkSPORT 2 through the website, click HERE for the live stream.
You can also listen via the talkSPORT app, on DAB digital radio, through your smart speaker and on 1089 or 1053 AM.
Manchester United v Fulham: Team news
United star Casemiro will begin his four-match suspension but Anthony Martial could return from a hip injury.
Alejandro Garnacho is out with an ankle injury and has joined Christian Eriksen and Donny van de Beek on the sidelines.
Marcel Sabitzer and Victor Lindelof should start.
Fulham remain without Layvin Kurzawa, Neeskens Kebano and Tom Cairney but have no fresh issues to contend with.
Manchester United v Fulham: Match facts
Manchester United have won all three of their FA Cup games by a 3-1 scoreline this season.
No side have benefitted from more own goals this season than the Red Devils (2), with six of their other seven goals being scored by South American players (Casemiro x2, Fred x2, Antony and Garnacho).
Fulham beat Leeds 2-0 in the fifth round - they've not eliminated more than one Premier League side in a single FA Cup campaign since 2002-03, when they beat Birmingham and Charlton.
Manchester United are unbeaten in 16 FA Cup home games (W14 D2), since losing 2-1 against Arsenal at this stage of the competition in 2014-15. One of those two draws did result in a penalty shootout defeat, however (against Middlesbrough in February 2022).
Fulham have lost their last three FA Cup quarter-final ties, with this their first since 2009-10. They last reached the semi-final of the competition in 2001-02, beating West Brom in that year's last eight.
No team has reached the semi-finals of the FA Cup more than Manchester United (30, level with Arsenal). However, the Red Devils have lost five of their last eight quarter-final ties, most recently against Leicester in 2020-21.
Manchester United have scored in each of their last 25 home games against Fulham in all competitions, netting 63 goals in total. The last Fulham keeper to keep a clean sheet against them at Old Trafford was Tony Macedo in April 1963.
Fulham are winless in their last 15 meetings with Manchester United in all competitions (D3 L12), while they've only won one of their last 25 away games against the Red Devils (3-1 in October 2003).
After losing their first two FA Cup ties against Fulham in 1905 and 1908, Man Utd have progressed from each of their last eight against them. This is their first meeting in the competition since a 4-1 win in January 2013.
In his career in English football, Fulham striker Aleksandar Mitrovic has scored 120 goals in 255 league games (Premier League and Championship, including play-offs), four goals in seven League Cup games, but has never scored in 11 appearances in the FA Cup.
Fulham have scored eight goals in the FA Cup this season, netting in both halves in three of their four games so far. They last scored more in a single campaign in the competition in 2010-11 (10).