The midfielder is said to be ‘happy’ at Turf Moor and neither player nor club would be interested in the possibility of a move at the end of the season.
This robust stance follows a report over the weekend claiming a number of Premier League clubs were monitoring Brownhill ahead of a summer swoop.
However, having only signed the 25-year-old last year from Bristol City for £9m, there is understandably no desire to sell from the Lancashire club.
Brownhill has made a strong start during his first full top-flight campaign, earning an average Sofascore rating of 6.91 across his 23 Premier League outings.
Instead, the Irons must look elsewhere to find much needed central midfield reinforcements ahead of next season.