Pajtim Kasami's header in the second half secured three points for the west London club, despite Paolo Di Canio's men enjoying more chances at the Stadium of Light
Paolo Di Canio's men spurned a number of good goalscoring opportunities through striker Jozy Altidore, while Pajtim Kasami netted a second-half winner with Fulham's only effort on target at the Stadium of Light.
With a tough opening to the campaign ahead that sees Fulham take on Arsenal, Newcastle United, West Brom and Chelsea in their next four league games, Jol admits securing three points is a welcome boost.
"It was what we needed," he said. "Three points with our schedule is perfect for us.
"At times you would have to say we would have been happy with the draw.
"They pressed us in the first half and we didn't do enough, but in the second half we did better - but I think it's fair to say it was a scrappy win."
The Fulham boss also reserved special praise for Kasami, who has struggled to nail down a regular place since arriving at the club from Palermo two years ago.
The 21-year-old was sent out on loan to Luzern for a spell last term, and Jol believes the midfielder needs games to continue his form.
"He did well but needs momentum," he added.
"With people coming back from international duty he really stepped up and we came away with a good result."