The 21-year-old remains on loan with Scottish champions Celtic and the Hoops face Motherwell in the Scottish Cup final at Hampden Park on Saturday. It is believed that after the match, bids will be made.
Celtic are also said to remain keen on keeping the former Fulham ace north of the border with the Hoops, but Roberts admitted himself that he wants to be playing football in the Premier League last week.
A number of injuries, including a long-term hamstring injury, limiting him to just 18 appearances with the Hoops. But after two and a half years with Celtic, Roberts has been involved in 44 goals in 78 games. Scoring 18, he has provided 26.
Despite his injuries this season, Roberts has still managed to lay on five assists and scored a crucial Champions League goal against Anderlecht in the 3-0 win in Belgium.
Roberts joined Man City on a permanent basis in 2015 and still has two years on the five-year deal he signed as a teenager. But it remains to be seen if he is in Pep Guardiola's plans, with City boasting plenty of attacking options.