Shelvey told the club's official website: "When someone like Michael comes in for you, then you can't really say no. I spoke to him this morning and I liked what he had to say. Fingers crossed, it will all click on the pitch.
"He was one of the world's best players – he has experience of playing for Barcelona and Real Madrid, so hopefully I can get some games under him and progress well.
"I want to learn under him and hopefully he can develop me into a top player."
Shelvey made 32 appearances last season for the Reds in all competitions.