Austin, 26, smashed 18 goals in 35 Premier League games last season, but couldn't keep QPR in the top flight, as the R's suffered immediate relegation back to the Championship.
Many expected Austin to move on over the summer, with a return to the Premier League touted for months, but with no move materialising, Austin began the season with QPR.
Having hit seven goals in 12 games so far, Austin's goalscoring exploits have continued, and with his contract set to expire next summer, interest in his signature is once again building.
The Sun report that Aston Villa are hoping to snap up Austin as they look to find the goals to save their season, but they may have to convince Austin to make the move.
The report states that Austin doesn't want to join a team in a relegation battle, and he will only consider signing for Villa if new Remi Garde can turn Villa's fortunes around before the January transfer window.
That will be a big task for Garde, and the Frenchman's aim to keep Villa in the Premier League would certainly be helped by the arrival of a proven goalscorer like Austin - but their results in the coming weeks could decide whether the former non-league star is tempted by a move to Villa Park.