The Magpies have been running the rule over the Scotland international, with Eddie Howe a huge admirer of the player.
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McTominay has started just seven matches in the Premier League so far this campaign, and found himself behind Bruno Fernandes and Casemiro in the pecking order.
Murphy, though, insists a switch to St James' Park could be the ideal destination for the 26-year-old to help rekindle his career.
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"I like Scott McTominay a lot," he told talkSPORT, "I think he gets unfair criticism at times.
"The way Eddie Howe and Newcastle play, he's perfect. Super athletic, box-to-box. A really hard worker, good at spotting danger and decent with the ball."
Murphy believes Newcastle need more strength in depth in midfield if they are to complete in Europe next season.
"You could argue they have got Sean Longstaff, who kind of fits that role, but you're talking about a club that hopes to be in the Champions League.
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"That means you are playing high-quality games midweek and on the weekend and they need competition for places.
"They need more numbers in midfield, they have shown that recently when they have had injuries. I think McTominay would be a super signing for them."
Newcastle most recently came from behind to beat Nottingham 2-1 at the City Ground in the Premier League.
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It means Howe's troops are just three points behind the third-placed Red Devils, having played the same amount of games, with both facing each other on April 2.