Goals from Antonio Valencia, Robin van Persie and Wayne Rooney in the space of 13 first-half minutes were enough to give United a sixth successive Premier League win over Fulham.
The home side pulled a goal back through Alex Kacaniklic's deflected strike on 65 minutes before Darren Bent headed against the crossbar and Kieran Richardson glanced wide.
Jol was left to rue the failure of Fulham's offside trap for the three United goals, but was at least happy to see his team show character at Craven Cottage.
"We started off well, but there was too much space for them in midfield and they took advantage of it," Jol told Sky Sports.
"The first goal was not offside, the second goal was maybe a foot or a shoulder, and the third goal was exactly the same, they beat the offside trap.
"We gave them too much space and they cut through the defence like a knife through butter.
"But we were better after that, and we showed a lot of pride and character, and we tried to show people we can play. We showed some good performances in the second half, but not enough to win against Man Utd.
"We've got a good team and good team spirit. It could have gone either way at half-time as at 3-0 it could go wrong as well.
"If we had scored a second goal, we could have maybe got a result. The second half was probably the positive thing today."