The popular boss has led the Clarets to a sixth consecutive season in the top flight after they beat relegation last term, but has been touted as a potential target for Crystal Palace this summer.
Dean Windass has cast serious doubts over whether Dyche would actually consider leaving Turf Moor, however, suggesting that a move to the capital would not be a step up for the 50-year-old.
“Is he interested in the job? Why would he be interested in the job? No disrespect to Palace,” the ex-Hull City forward told Football Fancast.
“Why would Sean Dyche want to leave Burnley?
“I just don’t get why you’d want to leave Burnley, to be fair.
"Does he need the money? I don’t think so.”
We’ve gathered the best of today’s Premier League transfer speculation below...
1. Leeds close in on Cunha
Leeds United are only one step away from signing Hertha Berlin attacker Matheus Cunha. The Whites are ready to offer £23.2 million to complete the signing. (Rudy Galetti) (Photo by Maja Hitij/Getty Images) Photo: Maja Hitij
2. Leeds eye up Cabral
Leeds United and West Ham want to sign Sporting CP winger Jovane Cabral this summer. (A Bola) (Photo by PATRICIA DE MELO MOREIRA/AFP via Getty Images) Photo: PATRICIA DE MELO MOREIRA
3. Pep wants Griezmann
Man City boss Pep Guardiola wants to follow-up on the mooted signing of Jack Grealish by making an unexpected move for Barcelona forward Antoine Griezmann. (Fichajes) (Photo by Franck Fife - Pool/Getty Images) Photo: Franck Fife - Pool
4. Sporting open to selling Silva
Sporting Lisbon are open to selling Rafa Silva to Newcastle United, with a fee of around £25.7 million being mooted. (A Bola) (Photo by Matthias Schrader - Pool/Getty Images) Photo: Matthias Schrader - Pool