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.
This was by no means as impressive as the third-round win at Aston Villa, but one which the vocal Blades support will hope can spur them onto better things in the league.
The first half was a turgid affair in which few chances were created, with the main talking point referee Neil Swarbrick's decision not to send off Bob Harris despite a late tackle on Josh Passley shortly after being booked for a foul on the same player.
Harris, whose loan move from Blackpool was made permanent on transfer deadline day, was back at the heart of things when play resumed for the second half, curling a free-kick wide before hitting a powerful effort at David Stockdale.
The natives were getting restless as Fulham's disjointed performance continued, rounding on Hugo Rodallega when the ineffective striker was taken off with 30 minutes remaining.
The Colombia international appeared to take the reception personally as he sat head in hands on the bench - a stance many inside Craven Cottage copied when the match went into extra-time.
John Brayford and Pajtim Kasami came close as play swung from end to end, with the match decided in the 120th minute as Miller glanced home Harry Maguire's header back across goal in front of the away fans.
Source : PA
Source: PA