In 2011, the England U21 international joined the Reds from Wycombe Wanderers. Since his arrival, the 20-year-old has made 58 appearances and has scored one goal. However, last season he endured a lack of playing opportunities, as coach Jurgen Klopp only started the youngster in 12 Premier League matches.
Ibe has struggled to find a regular starting position for Klopp's side, as he might consider his options of a move in hopes of more playing time.
In addition, Bournemouth manager Eddie Howe is seeking to spark up his squad before the 2016/2017 campaign begins, as the 38-year-old coach has set his eyes on bringing Ibe to Dean Court.
The London-born footballer, who has made four appearances for his U21 national team, has a deal with Liverpool until 2020 after penning a new five-year contract to stay at Anfield last May.
