Liverpool manager Jurgen Klopp has cautiously considered the options available to the Kop starlet, someone he is understood to rate as a future Anfield starter.
The attacking style of the Blades, who may possibly be Championship promotion dark horses, fits Klopp's plans for Woodburn down the line, according to SunSport.
The Blades' boss, Chris Wilder, has a vacancy or two in his squad and the 18-year-old Wales international would get the game time needed at this stage in his development.
Aston Villa were also eager on Woodburn and Steve Bruce even got Wales' national boss Ryan Giggs to have a word on his behalf.
The Reds have the final word and Woodburn appears keen on the chance at Villa's league rivals.
This article was most recently revised and updated 3 years ago