But former Tottenham Hotspur midfielder Jamie O’Hara has argued that the Albion boss has shown more than enough to suggest that he could be the man to take over at Spurs this summer.
Speaking to talkSPORT, he said: “I think Daniel Levy needs to realise that Spurs have had a fall from grace. They’re not that club that they were a few seasons ago when you could attract a Jose Mourinho.
"Be realistic about the targets that you want and get back to where you were. When they brought in Pochettino from Southampton, he was a very good manager but he was Southampton manager.
"They brought him in, built success, turned them into a top four club, and then you can go and attract someone like Mourinho.
"You can’t go for Gattuso or Pirlo – they’re not proven enough to go in at Spurs.
"If you’re not going to get someone like Conte, go for Potter, because he’s not going to argue too much about the transfer budget, he’ll work with what he’s got, but he plays good football with a good philosophy, knows the Premier League. He’s done a really good job at Brighton.
"That’s someone I think you should probably go for.”
We’ve gathered the best of today’s Premier League transfer speculation below...
. BRIGHTON, ENGLAND - MAY 18: Graham Potter, Manager of Brighton and Hove Albion applauds the fans after the Premier League match between Brighton & Hove Albion and Manchester City at American Express Community Stadium on May 18, 2021 in Brighton, England. A limited number of fans will be allowed into Premier League stadiums as Coronavirus restrictions begin to ease in the UK following the COVID-19 pandemic. (Photo by Gareth Fuller - Pool/Getty Images)
Graham Potter, Manager of Brighton. (Photo by Gareth Fuller - Pool/Getty Images) Photo: Gareth Fuller - Pool
1. City launch Kane bid
Manchester City have launched an opening offer of £100million for Harry Kane on the eve of England's Group D decider against Czech Republic but Tottenham have made it clear he is not for sale at any price. (Fabrizio Romano)
(Photo by Catherine Ivill/Getty Images) Photo: Catherine Ivill
2. Wolves keen on Ward
Wolves are setting their sights on Leicester City goalkeeper Danny Ward. (Football Insider)
(Photo by Ian Walton/Getty Images) Photo: Ian Walton
3. Leeds want midfielder deal wrapped up
Leeds United are hoping to wrap up a deal for a midfielder quickly. The Whites have been linked with a range of targets in midfield this summer, including Harrison Reed at Fulham. It is understood, however, that he isn’t a player which Leeds are targeting. (Yorkshire Evening Post)
(Photo by Catherine Ivill/Getty Images) Photo: Catherine Ivill
4. Hammers bid for Simeone
West Ham have made a loan-to-buy offer to sign Cagliari striker Giovanni Simeone. (Calcio Mercato)
(Photo by Enrico Locci/Getty Images) Photo: Enrico Locci