The Bluebirds will head into the fixture at Goodison Park on the back of a 3-1 home win over Fulham that enhanced their chances of staving off relegation this season.
Ole Gunnar Solskjaer's side are now third from bottom in the league with 25 points from 29 matches, level on points with 17th-placed West Brom, who have a game in hand.
Everton are currently seventh in the standings and are looking for a top-five finish, but Turner wants his team-mates to collect a draw at least in Liverpool.
"A lot of people will think this is a game where we cannot get any points, but we absolutely need to go there and get something," Wales Online quotes the 26-year-old as saying.
"We need a solid foundation to try and stay in the game and get something out of it because if we can go on a good run it could be massive for us.
"It is difficult going up there, they are a very good side in possession and they are very good at making opposition players run.
"They've beaten top-four sides this season on a number of occasions which shows how good a side they are.
"We can go up to Everton with more confidence than we had this time last week.
"We have a win and some goals and a platform. We needed a result against Fulham, we got it and can take a lot of confidence from it."