The fee is set to be in the region of £6 million for the young English midfielder.
Shelvey is looking to win a place in the England squad and needs more regular first team football.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.