"He's settling down really, really well," Meninga said.
"He had a scan yesterday. It's still the same as it's always been. [But] we're confident he will play."
Meninga also confirmed Cowboys playmaker Michael Morgan would fill the interchange vacancy created by Cherry-Evans' withdrawal, not 18th man Dylan Napa.
Slater missed the Kangaroos' recent transtasman test loss to New Zealand due to the same injury.
Queensland backrower Matt Gillett -- who underwent a shoulder reconstruction two years ago -- admitted Slater's complaint was tough to manage.
"They are hard to maintain. It can be good and then during a game you get a knock on it," he said.
But Gillett said the feeling in the team was that Slater was simply easing his way into the camp.
Meninga adopted a tough love approach with injured players this year and made an early call on Cherry-Evans (shoulder).
He was keen to avoid a repeat of previous years when preparation was disrupted by injured players being given until the last minute to prove their fitness.
Rookie Morgan was rushed into the squad for Cherry-Evans on Wednesday. Meninga said Morgan would slot on to the bench instead of Sydney Roosters giant Napa, despite the Blues' huge 42kg bench advantage.
- AAP