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The former Spurs boss believes Mauricio Pochettino will be looking to add another centre-forward to his squad as back-up to Harry Kane.
And he claims Bournemouth hitman King, who fired 16 Premier League last season, would fit the bill.
Speaking on the Alan Brazil Sports Breakfast, Sherwood said: "I think they need a centre-forward, but it is really important they get the right one.
"They can't buy one who expects to be first choice because Harry wil obviously be first choice.