The 38-year-old is also thought to be on Manchester United’s radar if they decide to make a move with Erik ten Hag’s future uncertain.
McKenna, who is under contract with Ipswich until 2027, is known for his ambition and desire to advance his career.
Talks with Ipswich are anticipated to take place this week, with the Tractor Boys offering McKenna a new contract to entice him to stay at Portman Road.
Sport believes that is anticipated to fail, with the manager and assistant Martyn Pert believing the moment is ripe to move.