Palace’s remarkable march away from relegation trouble in 2013-14 under Tony Pulis included a 3-2 win on Merseyside and they repeated that scoreline with Neil Warnock at the helm five months later.
Dann, a boyhood Liverpool fan, scored in the first of those victories and believes a side sitting in eighth place under current boss Alan Pardew can once again emerge triumphant.
“We’ve got a strong record up there, and over the last couple of years we’ve enjoyed some good victories,” the centre-back told Palace’s official website.
“I think the way we play away from home gives us a chance to make it three away wins in a row, so we’re looking forward to Monday night.”
Palace are a point ahead of 11th-placed Everton and Dann is keen to boost Palace’s chances of securing a top-10 finish.
“I think we can be happy with where we are in the league,” he said.
“The past two seasons we haven’t started so well and have then come strong at the end of the season, so if we can build on what we’ve done already then hopefully we can be pushing teams like Everton come the end.
“Getting in the top 10 is what we want, and it’s what we’re working hard to achieve.”
Everton boss Roberto Martinez has refused to rule out James McCarthy and the midfielder will continue to battle a hip problem over the weekend.
England full-back Leighton Baines, meanwhile, could be set for his first Premier League action of the campaign having returned from a lengthy ankle lay-off as a substitute in the League Cup quarter-final win at Middlesbrough.
“He had a very good introduction on Tuesday night and now we need to see how he is recovering,” Martinez said of Baines. “He’ll need two or three days to get back to normal and then we’ll make a decision on that.
“We need to give him little introductions before he can get full fitness for 90 minutes, but with his experience it’s a lot easier to get to that point very quickly.”
Baines’ fellow defenders Phil Jagielka, Tyias Browning, Tony Hibbert (all knee) and Bryan Oviedo (hamstring) remain on the sidelines along with midfielder Steven Pienaar (hamstring).
Palace could have Dwight Gayle back from a hamstring strain, although fellow forward Bakary Sako will miss out due to a similar complaint.