The Ugandan midfielder has been linked with joining the Mark Warburton Rangers revolution at Ibrox.
Leeds United have appointed Garry Monk as their new manager.
The Arsenal star is set to star for Germany in France this summer.
The Hammers are said to be interested in Volkan Babacan.
HITC Sport understands Tottenham Hotspur are keen to tie up deal.
The midfielder has completed a move from Borussia Dortmund to become Pep Guardiola's first signing.
The Leeds United owner has done little to endear himself to Whites fans.
Ibrox side Rangers are so flush with talent that only one Celtic player would make the grade - Leigh Griffiths, says the father of Burns.
Wednesday were narrowly denied promotion in the Championship play-off final.
The Palermo attacker has been linked with a Premier League move.