The west Londoners travelled to Ukraine for the second-leg clash on the back of last week's 3-0 victory, which came courtesy of a Clint Dempsey brace and an Aaron Hughes effort.
Despite their three-goal advantage, Dnipro impressed in patches and were unfortunate not to find an elusive away goal.
After the match, manager Juande Ramos claimed the result was unjust and Jol wants Fulham to quieten his counterpart with an early goal.
"They're a good team with a very good home record," he said. "Away from home it's different for them.
"They will probably do everything they can to score an early goal.
"For us it's very important to score on Thursday night.
"When we've got the ball our intention will be to score.
"It's important to be strong defensively and if you drop off like we did in the last 15 to 20 minutes of the first leg then you could end up with a problem, because they are very good at finding the spare man on the edge of the box or creating an overlap."
Fulham have taken a strong squad to Ukraine but will be without striker Bobby Zamora.
The England international missed the weekend's 2-0 defeat at Wolves with an ankle injury and will be sidelined once again.
"Bobby's not available so we have to find a solution for that position," said Jol.
"Of course last week Clint scored two goals and it's not all about Bobby.
"Of course he's a good target man but we have to come up with another solution up front.
"Moussa Dembele came on against Wolves last weekend and did well so hopefully he can have a big say in the game."
While Fulham's progress to the Europa League group stages looks all but certain, pressure is mounting on Dnipro boss Ramos.
The Spaniard - who controversially replaced current Fulham boss Jol as Tottenham manager four years ago - has denied he fears the sack and has vowed to bounce back from last week's disappointment.
"It is clear that after the result in the first match that we are not the favourites," he said.
"At the same time, I'll tell the players before the game, 'You do not need to think that we have to score four goals'.
"We need to go out and score the first goal. If that happens, everything can change internally and you can start playing better.
"Then we must try to score the second goal and then the third.
"There is no need to convince the players.
"We must try to score as much as possible during the match."