Rowe, 20, scored two goals in Saturday’s 2-2 draw at rivals Ipswich to bring his total for the season to 11.
The Englishman is the joint third top scorer in the Championship this term despite his young age.
Although more clubs are likely to enter the scene – with Aston Villa another interested club – Norwich do not want to sell despite being strapped for cash.
Despite a difficult spell under boss David Wagner, they are just five points off the play-offs so they will only listen to offers in the summer.
Rowe rose up the ranks in Norwich’s academy and has been with the club since he was 11 years old.
The youngster has been called into England’s U21s since bursting onto the scene at the start of the campaign, having never previously started a game.
Yet he scored five goals in as many games in August which is why Wolves came in with their offer which was immediately dismissed by Norwich.
The Norfolk club are also fearing offers for Brazilian midfielder Gabriel Sara in January but like Rowe, they do not want to sell.
The 24-year-old joined the club from Sao Paulo last summer and has already managed five goals an eight assists in the league this season.
Wagner’s side are preparing for the busy Christmas schedule and host relegation scrappers Huddersfield Town on Saturday to get the festive period underway.
