The 21-year-old was allowed to leave Old Trafford by former boss Sir Alex Ferguson after he failed to agree a new contract with the club in 2012.
However, Pogba has since put in excellent displays for Antonio Conte's side as he was one the key players in their Serie A title win last season, while he has also impressed for France at the World Cup.
Dublin is quoted as saying by the Daily Star: "Pogba is exactly the sort of player United need. He's got energy, spark and a hunger Rooney has, he's also very brave.
"He comes with a bit of a bad boy image but he's a quality footballer."