Everton legend Neville Southall has stated that a move to the Blues would be a step-up for Wilfried Zaha, but he can't see a deal happening this summer.
Marco Silva has already added Jonas Lossl and Fabian Delph to his squad, while Andre Gomes' loan deal from Barcelona became a permanent switch for a £22m fee.
Having been heavily linked with a move to Arsenal, Everton find themselves fancied as Zaha's next destination.
The Toffees are now 4/9 favourites with Sky Bet to complete the signing of the Palace winger before the end of the window.
On the links with Zaha, Southall confessed: "I don’t think he’ll [Zaha] go to Everton full stop, but it would have been a good a signing for us [Everton].
"I think coming from Crystal Palace, Everton would be a step up and I do think if you look at what we have coming in the future, Everton would have been a better long-term prospect, but I don’t think the transfer is going to happen.
"We have a new ground coming, new players coming and someone who can bank roll a club, therefore I think the club is going forward.
"Let’s be honest Crystal Palace are going to be down the bottom half of the table again this season, because their finances and ability to buy players isn’t there for them."
Another potential incoming at Everton is Moise Kean. The Juventus youngster is on the verge of a move for a reported £29m fee.
Kean netted six goals in 13 Serie A appearances last season, the majority of those appearances coming from the bench.
With the forward just 19 years of age, Southall believes he is nowhere near the finished product and an exciting addition for the future.
"I think he’s got everything we are looking for and he’s got youth," he said. "He’s only going to get better, he’s nowhere near finished so I think coming into the team will help give him the experience he lacks.
"The kid’s got pace as well. He’s got everything we need because the one thing Everton do well is we take chances so having an actual goal scorer to finish them off, I think he could come in and be a sensation at Everton.
"It’s all going to depend on how he settles into the Premier League, it’s a bit different from Italy and it’s going to take a bit of time to adjust but hopefully he’s come in at the right time and he can hit the ground running."
Kean's arrival could pave the way for some to move on, and Cenk Tosun failed to replicate his form at Besiktas in his first full season at Everton.
The 28-year-old forward only managed three goals in 25 Premier League appearances and was confined to a handful of starts in the second-half of the 2018/19 campaign.
On Tosun, Southall stated: "Honestly, I think he’d be great in the Championship, but I don’t think he’s a Premier League player.
"I think his attitude is great, I think his work rate is great, but I don’t think in the Premier League you can get away with just being a really good work horse. He was worth taking a chance on, but probably overpaid for.
Tosun has been mentioned as part of a potential deal for Zaha, but Southall believes it wouldn't be the right fit for Palace.
"I don’t think he’s the answer for Crystal Palace," the ex-goalkeeper continued. "He might score five or six goals this season, but to stay in the league you need someone who can score between 10 and 15 goals for you."
One major departure from Goodison Park this summer is Idrissa Gueye. The midfielder has joined French giants PSG in a £30m deal.
The Senegal international was a stand-out player in the heart of Silva's side, but Southall believes the deal is one that benefits all parties.
"I don’t think the [Gueye] departure from Everton will be a massive issue," he said. "I think the money was too good for him to turn down. They’re probably not going to get anything more for him, so it’s a good time for him to move on.
"Will we [Everton] miss him? We shouldn’t do really, because there are enough players who can do that job, but he was a really underrated player."
One player who could fill the void is Delph following his £8m switch from Manchester City.
The 29-year-old had been utilised primarily as a left-back under Pep Guardiola, although he is naturally a central midfielder.
That's his position for Gareth Southgate at England, wearing the captain's armband in recent Three Lions international matches.
"People are paying a lot now for players who can run about and that tells you something about modern football," Southall said.
"He’s not the most technically gifted player in the world but he grafts, and he grafts and he’s worth as much as anyone else.”
Neville Southall was speaking to VoucherCodes.co.uk as part of their Greatest Savers campaign
Odds correct at 1530 BST (01/08/19)