Despite the managerial upheaval just days before the start of the season, Wolves are enjoying a solid Premier League campaign under Gary O'Neil.
Saturday's 1-1 draw against Nottingham Forest made it 19 points from 16 games, the West Midlands outfit netting in their most recent 15 top-flight fixtures.
During the summer, issues with FFP dominated Wolves' efforts in the transfer market, with only the big-money sale of Matheus Nunes releasing funds to strengthen the squad just days before the deadline.
To a lesser extent, Wolves are still believed to be hindered by the financial regulations, yet they are expected to be active when business reopens at the turn of the year.
Previous reports have indicated that a centre-forward may be prioritised with a solution potentially needing to be found for Fabio Silva who has barely featured since the opening weeks of the season.
However, according to The Mirror, O'Neil is ready to reignite his previous interest in Brownhill, whose future at Burnley remains up in the air.
Since signing for the Clarets in 2020, Brownhill has established himself as a key man, his most notable efforts coming in last season's Championship-title-winning campaign as he contributed seven goals and eight assists.
The 27-year-old remains a key component of Vincent Kompany's team in the Premier League with 12 starts and three substitute outings being made, Brownhill also scoring against Arsenal and Sheffield United in recent games.
Nevertheless, just over six months remain on his current contract, with Burnley yet to activate the 12-month option that they possess to extend those terms.
That scenario is allegedly attracting Wolves' attention and they may attempt to secure a deal for Brownhill in the region of £7m.
As it stands, it is unclear how Burnley will choose to manage the situation, the most realistic choice being to trigger the one-year clause in Brownhill's contract.
Burnley did spend excessively in the summer, though, without generating funds from player sales, and that is something which may be taken into account when decisions are made in the transfer market over the coming weeks.