But Friday's newspapers suggest Villa will not be making contact with Hughes, while BBC Radio 5 live's Midlands football reporter Pat Murphy says Villa have been put off by the manner of Hughes' exit from Fulham.
"I don't believe Mark Hughes will be the new Villa manager, no," said Murphy. "The events of the last couple of days haven't done much for Hughes and Villa chairman Randy Lerner likes things to be done a certain way.
"Chief executives talk to chief executives in this game and it's possible Fulham have marked Aston Villa's card.
"Hughes clearly feels he has bigger fish to fry, he's used to dealing on the big stage and his exit at Man City still rankles, but I don't believe he is eyeing up Villa as his next job.
"Villa have got a number one target, but they won't tell me who that is. I think Steve McClaren would be a good shout and Carlo Ancelotti would be a very good signing."
Fulham had been in talks with Hughes to extend the two-year deal he signed in July, but the club admitted defeat in their attempts to prevent him walking away after he offered his resignation.
The Cottagers hope to have a manager in place in the next three weeks, in time for the start of their Europa League campaign, with the likes of former Spurs boss Martin Jol, ex-Charlton and West Ham manager Alan Curbishley and former Villa boss Martin O'Neill linked with the vacancy.
Hughes will serve a month's notice and be available to another club from the end of June - but BBC Sport understands that Premier League rules mean neither he nor his agent can be contacted by other clubs until after 30 June.
The former Manchester City manager, whose final game in charge of the club was
a 2-2 draw with Arsenal,
had brought stability to Fulham in the wake of predecessor Roy Hodgson's departure to Liverpool last summer.
MARK HUGHES' CAREER
Playing career takes in Man Utd, Barcelona, Bayern Munich, Chelsea, Everton, Blackburn, Southampton and Wales
Scores 163 goals in 606 club appearances. Wins 72 caps for Wales, scoring 16 times
Appointed part-time Wales manager in 1999
Becomes Blackburn manager in 2004
Appointed manager of Manchester City in 2008
Sacked by Manchester City in December 2009
Appointed Fulham boss in July 2010, leads them to eighth in Premier League and secures Europa League spot
Announces resignation from Fulham in June 2011
Deprived of the services of striker Bobby Zamora for much of the season, Hughes steered the club to an eighth-place finish with 49 points - four places and three points better than they achieved in their previous campaign.
"I didn't see it coming, no-one did," said the Switzerland international. "It's sad for everyone because we have had a good campaign and we were hoping to build on that next season but we will see what happens.
"It's something that happens in football. The sooner Fulham are able to get a manager, the better."
The likes of Emmanuel Adebayor, Joleon Lescott and Carlos Tevez followed, but Hughes' results failed to match the owners' expectations and he was fired in December 2009 with City sixth in the Premier League.
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