The Metro report that United are preparing to make a January bid for the Turkish international star.
Çalhanoğlu would however, be cup tied in the Champions League were United to sign the 21-year-old over the winter transfer window.
The Bayer play-maker has already scored twice and provided two assists in the Champions League – three goals if you count the playoff stages.
Çalhanoğlu has provided a direct contribution to 12 goals (6 goals, 6 assists) in his 14 European games.
The Turkish international is also widely regarded as being one of the best free-kick takers the business with a phenomenal free-kick scoring record – 22 in the Bundesliga.
Çalhanoğlu joined Bayer from HSV on a €15 million transfer last season and was selected as the sixth most valuable U-21 players in the world list by Soccerex.