The once trouble 21-year-old appears set to bring his brief spell in the limelight at Upton Park to a close this summer as his contract enters its final 12 months.
Although he impressed during his first-team breakthrough at the start of last season, Morrison was shipped out to QPR for the latter half of the campaign in a shock loan move.
The former Manchester United trainee thrived in the Championship, but is rumoured to be angered at being out of the top tier – which he is said to see as a major factor in his failure to be in the running for England’s World Cup squad.
This has alerted recently appointed Swansea manager Garry Monk, who is keen to take a chance of the skilful attack-minded ace.
QPR are also keen to make Morrison’s stay a permanent one, but the Swans may be a more attractive prospect given their progress over the course of the past few years.
West Ham boss Sam Allardyce is understood to be willing to welcome his youngster back into the first-team next term, but with the player disgruntled a sale may benefit all parties involved.