Kenny Dalglish paid £35 million to bring the 23-year-old from Newcastle in January 2011 but he’s failed to live up to expectations and is reportedly wanted by the Rossoneri who’re in the market for a new forward.
His displays for the Three Lions at Euro 2012 caught the attention of Pier Silvio Berlusconi – son of Milan president Silvio – who stated he wanted to see him wearing the famous black and red stripes.
It’s also thought Rodgers is concerned that Carroll doesn’t fit into his preferred 4-3-3 style of play and is said to be lining up Roma forward Fabio Borini to fill the void should he leave.
The Northern Irishman admits he’s had no offers for the Geordie frontman but acknowledges it’s something he will explore should the Reds receive an approach.
He said in the Daily Telegraph: “It’s something I would have to look at, I have to be honest.
“I’m not going to sit here and say I will never let anyone go on loan, then come in here in two weeks and a player’s gone, and you’re saying ‘you said you wouldn’t let them go’.
“There are many things to going on loan. Is it going to be beneficial for the club, that’s the most important thing?
“Sometimes a player going out on loan – in general, not just Andy – can benefit the club in the long term.
“It gets them game experience, and they come back a better player, a more confident one. Certainly more so than if they’ve been sitting on the bench for the majority of the season.
“Andy’s always going to be linked with clubs, whether he was here or not. I have spoken to him on his holidays, he knows exactly where he stands, but I have had no inquiries about him.”