Considered the early front-runners for Cherry-Evans' signature, Robinson claimed on Thursday the Roosters were yet to discuss the prospect of signing the veteran.
But the Roosters coach left the door open for a potential pursuit, joining the likes of the Dolphins, Canterbury and Gold Coast this week in refusing to deny any interest.
"We haven't discussed it is the first thing," Robinson said.
"It's pretty rare that a player like that comes on the market, especially at this time of the year. We haven't discussed it as yet.
"But as a business you've got to look at it as well.
"I'd say we'll get to that when we know a bit more info, though, about decisions getting made as well."
Robinson's comments came as Brisbane ruled out a play for the 36-year-old, with Michael Maguire backing Ezra Mam and Ben Hunt if Adam Reynolds retires at year's end.
After announcing on national TV on Monday night this year would be his last at Manly, Cherry-Evans' situation is eerily similar to Cooper Cronk's in 2017.
On that occasion the Roosters signed Cronk, released Mitchell Pearce and won back-to-back premierships.
The Roosters currently have Chad Townsend on a one-year deal, while Robinson has previously spoken about wanting mentors for young playmakers Sandon Smith and Sam Walker.
"We're pretty clear about the development of them and that doesn't change. We're still heading on that path," Robinson said.
"We know which direction we're headed.
"You do have to be aware of movement (on the market) and understanding all that, but a lot of things have got to happen.
"We've got to keep clear on our goals as a club and a team and we're going to keep going on that. And then you've got to be adaptable along the way as well."
The Roosters also already have James Tedesco and Reece Robson on their books for next year, with both part of the same management stable as Cherry-Evans.
If Cherry-Evans does stay in Sydney, the Roosters and Bulldogs loom as the most likely options for the 36-year-old.
Manly also tabled a two-year deal worth $1.4 million on Tuesday morning, hours after Cherry-Evans said on national television he would knock back the offer.
But there is a resignation that the club's greatest ever halfback is extremely unlikely to change his stance and accept the offer.
South Sydney, Penrith, St George Illawarra and Wests Tigers have ruled out interest.
The other option for Cherry-Evans is a move north and the potential romanticism of finishing his career at the Dolphins, after his father Troy played for Redcliffe in the Brisbane Rugby League.
"I guess there is (a romantic notion)," Dolphins coach Kristian Woolf said.
"There is a lot of things that go into those decisions though. I don't know how much that weighs on his decision.
"The last 48 hours has probably caught everyone by surprise. It certainly caught us by surprise. We just assumed he would finish his career at Manly.
"The fact that's not going to be the case, we will sit back and watch what happens. If there is genuine interest then we would love to have a conversation."
Woolf said the Dolphins had the money available to throw at Cherry-Evans, with rivals expecting the half to draw offers of close to $1 million per season.
"We've got space in the cap, that is not a problem," Woolf said.
"We've been very smart in how we managed the cap to make sure we do have opportunities for good players when they become available.
"We've just got to make sure we get those decisions right."
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