A goal by loanee striker Darren Bent seven minutes from time ended the Cottagers' seven-game winless run at home as victory over Stoke City saw them move out of the bottom three
The London side struggled to break down the Potters, led by former Fulham boss Mark Hughes, until second-half substitute Darren Bent gave the hosts a lead seven minutes from time.
And the 57-year-old could not hide his relief, also expressing his confidence of enjoying a long-term future at the club.
"I will be in this job for the next years but I want to be here with these players. Most of these players are here because of me," Jol said in his post-match press conference.
"It was unbelievably important to get the win. I can come up with all the stories and excuses and that the players are behind each other but if you don’t get the points everyone is under a big depression.
"Relieved is probably not the word to use, you know. You need results and you need to be in a good position. And you need to be without pressure because any team under pressure will perform not as good as they are capable of."
The Dutchman also praised matchwinner Bent, although he admits opportunities to start games may be limited for the loanee forward.
"It’s great to have someone like Darren Bent," Jol said. "I always do that with players [try to nurture the best out of them]. They always have good seasons when they are with me,
"Darren Bent will have a good season. He knows what my intentions are. Sometimes he can’t start but my intentions are still to use him and get the best out of Berbatov and Darren Bent."
When asked whether Bent will start Fulham’s next clash, Jol replied: "I won’t answer silly questions. I’m happy with the three points today and I won’t think about the next game."
However, the Fulham boss did admit that his side were far short of where he expected them to be, suggesting that improvement on the ball - and from set-pieces - were desperately needed.
"Of course we are a bit lucky because Robert Huth had two clear headers from set-pieces," he added. "We worked all week on it but we still conceded them. We have to do better with corner kicks. In hindsight everything is good but not for me, we have to improve.
"We have to do better on the ball. There are a lot of teams in the bottom half who will be under pressure and hopefully we will get out of there.
"I want us to score goals because we have too much to do to win games. I want to make the fans happy with better football being played. But we shouldn’t be carried away because last season they thought we would be in the top four."