Steven Pienaar scored the only goal in the 16th minute but the hosts made harder work than they should have done in winning a 20th straight league match at home to Fulham.
"At the start you saw they (Everton) were eager, hungry, and they caused us some problems but it was only 1-0," said the Dutchman.
"They were a bit more physical and that showed in the first half.
"In the second half we were better in possession and with a little bit more luck we could have had a point but they could have scored two or three goals as well."
Jol had to replace Dimitar Berbatov after just 30 minutes because of injury but he said it was too early to say whether the Bulgarian would miss the remainder of the campaign.
"Berbatov has got a tear in his calf. He normally says he is a quick healer so hopefully not," he added when asked whether he had ruled out the striker for the final three matches.