A succession of missed chances at both ends marked the end of Fulham's 105-year history at the old stadium, which will undergo a £70million facelift before they return in two seasons' times.
Premiership demands for all-seater stadia have finally caught up with the grand old ground, which Fulham hope will boast a 30,000 capacity when they return after sharing Loftus Road with QPR for two seasons.
Leicester boss Micky Adams - who returned to Fulham five years after being sacked as manager - named winger Alan Rogers in his side for the first time after he recovered from a knee injury.
Goalkeeper Simon Royce returned to the squad on the bench after being recalled from his loan spell at Manchester City.
Bjarne Goldbaek kept his place in the Fulham line-up at the expense of John Collins after scoring against Bolton on Tuesday.
Steve Marlet replaced Louis Saha, who dropped to the substitutes' bench. Barry Hayles brought the first save of the match from Ian Walker in the opening moments, but his effort was straight at the Leicester goalkeeper.
Almost immediately, the marauding Paul Dickov slipped into Fulham's penalty area unopposed to draw a fine save with his legs from Edwin van der Sar.
And Dickov was in again after six minutes, latching on to an astute disguised pass from Muzzy Izzet, but his left-foot shot flashed right across the goalmouth.
Leicester dominated play from midfield, with Izzet and Robbie Savage first to the loose ball, and Fulham apparently happy to play on the break, despite being the home side.
Fulham were as pretty as usual but again lacked a cutting edge to their play and their final ball was poor. Their marking also left a lot to be desired, with the visitors free to pepper their penalty area with crosses in the early exchanges.
Leicester brought on Stefan Oakes after losing Callum Davidson to injury following a bad tackle from Sylvain Legwinski, who was booked.
But Legwinski almost went from villain to hero when he rose to head a Steed Malbranque free-kick goalwards only to watch his effort fly past the post.
Fulham were slowly beginning to assert their authority on the match and Malbranque had a fierce drive blocked by Frank Sinclair after 27 minutes.
But Leicester continued to look dangerous at the other end. Matthew Piper played a neat one-two with Izzet before beating Rufus Brevett to the byline, but van der Sar saved from Dickov's header.
Sean Davis could have broken the deadlock after 42 minutes from Steve Marlet's right-wing cross, but his looping header flew inches over the crossbar with Walker at full stretch.
Both managers kept faith with their sides for the second half, making no changes, and the opening exchanges were scrappy.
Fulham's home deserved a better send-off, and the atmosphere was muted with neither side able to make the breakthrough.
Izzet teed up the onrushing Lee Marshall for a good look at goal, but his miscued shot sailed harmlessly over the crossbar from 12 yards out.
And Legwinski failed to score soon afterwards at the other end when Malbranque found him with a header, Sinclair blocking his shot.
Fulham were enjoying the lions share of possession but failed to do anything with it, to the frustration of the 21,016 crowd.
Dickov was full of running for Leicester at the other end but the visitors seemed content to sit back and soak up the pressure.
And Fulham manager Jean Tigana took action in the 63rd minute, throwing on John Collins and Louis Saha for Legwinski and Goldbaek.
And Saha should have put them in front within a minute of his introduction after being played in by Malbranque. He breezed past marker Gary Rowett but turned back inside when the goal was gaping, and the chance passed.
Savage was booked for a wild lunge on Malbranque but Fulham failed to capitalise from the free-kick.
And Marlet then wasted anther good chance, putting a free header straight into
Walker's arms from a Malbranque cross as the game fizzled out.
It was a disappointing end to the illustrious history of Fulham's old stadium.