Roy Hodgson felt a draw was a fair result after Saturday's stalemate at Craven Cottage.
We had the better of the first half as Mark Schwarzer saved well from Peter Crouch but the home side stepped up after the break and forced the save of the match from Heurelho Gomes, who turned away Zoltan Gera's close-range header.
"I'm only the more disappointed because it was a home game and the advantage now passes over to Tottenham because they will be at home for the replay," said the Fulham boss.
"We were close at the end but, on the basis of the play, 0-0 was a fair result, although it was anything other than a dull cup tie because of the quality and commitment on show.
"The atmosphere was magnificent. I'm pleased we didn't lose as that would have been a bitter disappointment."