Despite losing six of their seven Premier League games, the manager points to the newly promoted side's performances as reason for his own struggling squad to be fearful
Ian Holloway's side have lost their last four games in the Premier League, scoring just once during that run.
However, Fulham are just two places above second-bottom Palace in the table and Dutchman Jol wants to ensure his players put daylight between themselves and Monday's opponents with a win at Selhurst Park.
"It's not easy to go away from home to play against these teams," Jol told reporters on Thursday.
"If you saw Crystal Palace away against Liverpool [a 3-1 defeat for Palace] in the second half, they could have scored more goals than one. Of course, it was 3-0 going into the second half but they could have scored two or three.
"They're a strong team and it will be difficult but I think we've got the qualities and the players to get a result. It's the Premier League, so it will be difficult, but hopefully we'll get the points because we need these points to get up the league table."
Captain Brede Hangeland could recover from a back problem in time for the trip to Selhurst Park, with Scott Parker and Dimitar Berbatov also in line to feature.
Hangeland and Berbatov were withdrawn during Fulham's 1-0 win over Stoke City while Parker suffered a calf problem in the 2-1 defeat to Cardiff City.
"Scott Parker will train with us on Friday so hopefully he'll be fine because he's back again," Jol continued.
"Berbatov will be back and Aaron Hughes will train on Friday.
"Everything is fine because all the international players came back and looked good."
Jol could also welcome back Ashkan Dejagah, with the Iran international featuring in his country's 2-1 win over Thailand on Tuesday.
Once he returns to full fitness, Jol backed Dejagah to rival other wingers at the club for a starting berth.
"I've got, as I said before, a few options on the flank – especially on that flank – so first he must be 100 per cent fit," he said.
"I told him a couple of weeks ago that I want him to be the number one but, of course, I want Damien Duff to be the number one, I want Bryan Ruiz to be the number one."