The Hull City boss would demand a huge transfer fund to rebuild the squad if he was to move to Villa Park.
He is being tipped as one of the frontrunners, but any potential move to bring Steve Bruce to Aston Villa as Remi Garde's replacement would hinge on whether the new manager would be given significant money to spend in the Championship, according to a report from the Mirror.
Speculation suggests that Garde is likely to leave the Birmingham club even if he is not sacked at the end of the season, with a report earlier this week claiming he could be set for a return to former club Lyon.
The Hull manager is thought to be one of Villa's primary targets to lead the club in their first season outside the top flight for nearly 30 years if the French boss does leave, with it thought that he could be tempted to make the move if the Tigers fail to achieve promotion.
However, there appears to be one particular condition for any deal to go through with the Mirror claiming that the former Birmingham City boss would want assurances that he would have a large amount of money to spend on rebuilding the club's squad if he were to take over.
Villa owner Randy Lerner has reduced the amount of funds on offer to managers in recent times, with the club not making a single major signing in the January transfer window.
However, it is going to require significant work in this summer's transfer market to put together a squad capable of launching a Championship promotion push.
Numerous first-team stars are expected to leave, some of them likely to be in cut-price deals, and Bruce would surely want the guarantee that he would get additional funds to spend on top of the income brought in through sales.
Villa are nine points adrift at the bottom of the Premier League and have won just two of 21 league matches under Garde since the Frenchman took over from Tim Sherwood in November.