Sculthorpe is starting to run out of options over his playing future
Wakefield do not have the room in their salary cap to sign Paul Sculthorpe, according to the player's agent.
The 30-year-old has been told he will not be offered a new deal by St Helens and Wildcats boss John Kear had expressed an interest in signing him.
His agent David Howes said: "Wakefield have informed us their salary cap won't allow them to enter negotiations."
Sculthorpe is out of contract at the end of the season and Howes added the player could yet still join Salford.
"Wakefield are no longer candidates, but there is still a possibility of Salford re-entering negotiations," said Howes.
"They are waiting for Paul to finish the season and they will review it.
"We are at the back end of the big spend, but there is another month before we start pressing the panic buttons."
Wakefield coach Kear had been hoping that the lure of playing alongside brother Danny would have persuaded Sculthorpe to move to Belle Vue but finances have dictated otherwise.
Sculthorpe, the only man ever to win back-to-back Man of Steel awards, joined Saints from Warrington 10 years ago and led them to three Grand Finals and two Challenge Cup victories.
But in recent years the former Great Britain captain has suffered a string of injuries, including a knee reconstruction, and he has only managed 12 games this season.
And Kear had previously admitted that if the money had been available signing Sculthorpe would still be a risk.
"I can remember Paul playing so well over a number of years, but obviously the directors are perhaps a little more conservative because there is a question mark at the minute over his durability," he said.
"That's been reflected in his number of appearances over the last two years."
Sculthorpe are coached by Shaun McRae, the man who signed him for St Helens.
But McRae has already said it would be "very unlikely" that they would sign him.