The 27-year-old scored 15 goals in all competitions last season, which was seen him linked with a move to Chelsea and pick up three England caps, scoring one goal.
His continued good form has now attracted the attention of United who may look to swoop for his services at the end of the season.
Also reportedly of interest to Solskjaer are Borussia Dortmunds Jadon Sancho, Leicester Citys James Maddison, Newcastle Uniteds Sean Longstaff and Stoke Citys Nathan Collins.
18-year-old Republic of Ireland youth international Collins is perhaps the most surprising name on that list, but the teenager is building a reputation with the Potters and has already captained the side.
However, with the team rooted to the bottom of the Championship, with one point from seven games so far this season, it has been difficult for him to shine.
United made an approach for Longstaff over the summer but Newcastles asking price of around £50m immediately put them off a bid.
Sancho are thought to be the two primary targets for United and both will be extremely expensive to rip away from the clutches of their current clubs.
19-year-old Sancho has been sensational for Dortmund over the last 18 months, scoring 13 goals last season and already has three in five appearances this campaign.
The teenage winger also hRead More – Source