Burnley's Michael Keane
Tottenham are among the clubs being linked with a move for Keane this summer, amid reports the England international will leave Turf Moor as he enters the final year of his contract.
When asked about his side's interest on Thursday, however, Pochettino said he would not be discussing transfers until the season has finished, with Spurs still in contention to win both the Premier League and FA Cup.
As far as Murphy is concerned, Tottenham could be in the market for a new centre-half - but only if one of their current ones departs.
"It depends who moves on players," Murphy told Talksport when discussing Keane's future. "Would he make a team like Everton better? Yes. Would he get in Tottenham’s team? Well not at the moment, but what if they lost one? There’s talk of Alderweireld, maybe. There’s talk of Dier moving.
"(Keane) is the type Tottenham would go for. Young, someone who Pochettino would gladly work with; probably improve. A good footballer."
But he is not the only one.
"I tell you who else," Murphy added. "I think another great bit of business would be to get (Harry) Maguire in from Hull. I actually think he might be a better footballer than Keane.
"I’ve probably seen him in half a dozen games. He hasn’t had a bad one. He plays in a three and when he comes out with the ball; he can play a pass. He’s strong as well and quicker than he looks, because he’s a big lad isn’t he?"
According to Murphy, another former Spurs player has given Maguire a ringing endorsement.
"I spoke to Michael Dawson about him and Daws said to me that he’s a top, top player," he added.
Hull City pair Michael Dawson (left) and Harry Maguire
Like Keane, Maguire is also out of contract at the end of next season, and is likely to move clubs this summer if his recent form continues.