Bottom of the Premier League and four points adrift of safety after a 3-0 home defeat to Southampton, Fulham boss Rene Meulensteen spoke in the programme of using the fourth-round replay as a chance to "garner some confidence".
If all else failed, the Fulham head coach asked for "togetherness and desire" - something lacking for the most part as Nigel Clough's visitors forgot their own relegation worries to reach the fifth round with a 1-0 extra-time victory.
Substitute Shaun Miller stooped to score the last-gasp winner for a side sitting 23rd in League One, setting up a home clash with the winners of the replay between Preston and Nottingham Forest.
Fifth round draw
Manchester City v Chelsea
Sheffield United v Nottingham Forest/Preston
Arsenal v Liverpool
Brighton v Hull
Cardiff v Wigan
Sheffield Wednesday v Charlton
Sunderland v Southampton
Everton v Swansea
Matches to be played on the weekend of February 15-16.