Jol watched on as Sunderland enjoyed the majority of the possession but was thankful to Pajtim Kasami for popping up with the winner.
Jol said: "It was what we needed. 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."
Kasami has had limited opportunities since joining the club in 2011 and Jol says it is exactly what the youngster needed, adding: "He did well but needs momentum.
"With people coming back from international duty he really stepped up this afternoon and we came away with a good result."
Fulham goalkeeper Martin Stekelenburg had to go off with a shoulder injury in the second half and Jol says it is too early to say how long he'll be out for.
Jol added: "Hopefully he will be okay but we'll have to wait and see."