The pair become the latest Championship sides to register an interest in the defender.
Wolves boss Walter Zenga
The youngster - who is also being chased by Leeds and Newcastle, according to the Yorkshire Post - has caught the attention of several Championship sides after helping the Tykes get promoted to the second tier themselves last season.
And Walter Zenga and Jimmy Floyd Hasselbaink are the latest managers to seemingly join the pack of clubs monitoring his progress, the Yorkshire Post reports.
QPR manager Jimmy Floyd Hasselbaink
However, they face a difficult challenge if they hope to add Mawson to their squads before the summer window shuts. The Yorkshire Post reports that Barnsley have no need to sell one of their key men after pocketing around £7m following John Stones' recent switch from Everton to Manchester City, so it will surely take a huge bid to get a deal across the line.
Though Wolves already boast a large squad, while QPR's is not too much smaller, both teams arguably need more depth at the heart of defence, especially if they hope to build on the promising starts they made to the new season.
Barnsley’s Alfie Mawson making a challenge on then Oxford forward Kemar Roofe