Dunne suffered the injury in Sunday's home clash with Premier League leaders Manchester City after falling heavily when challenging England goalkeeper Joe Hart for a cross and will undergo surgery in Birmingham on Monday.
A club statement confirmed: "Richard Dunne sustained a fracture to his right clavicle in the game against Manchester City.
"He will undergo an operation in Birmingham. It is anticipated that he will be sidelined for up to eight weeks."
Midfielder Marc Albrighton said: "Dunney is the kind of guy who will chuck his body on the line, chuck his head anywhere.
"On this occasion he's landed funny, had a bit of an impact and it was not good, but he'll bounce back.
"We've players who can step into his boots and hopefully they can do a job."
Meanwhile, Albrighton has called on all within the club to unite if they are to avoid a relegation dogfight at the end of the season.
Villa are currently just seven points above the drop zone.
Losing to City was their seventh defeat in their last 14 league matches since a 3-2 victory over Norwich on November 5, remarkably their last at home since when they have collected two points from seven games.
These are worrying times for Villa, to such an extent that some fans have started to protest against manager Alex McLeish, as was the case before kick off.
It was relatively minor, with no more than 100 or so voicing their concerns, but such numbers could swell if Villa fail to improve.
Albrighton, like many of the other Villa players, firmly believes McLeish is the right man for the job.
"I'm in favour of the gaffer. He's been doing well in training for us, he helps us out and speaks to us, which is what you want from a manager," said the 22-year-old.
"I thought the fans were terrific inside the ground, they were brilliant, they got behind us from the first minute, and that's what we need going through this bad time.
"Hopefully we can repay them over the next couple of games."
Those two matches, at teams in the thick of the relegation battle in Wigan and Blackburn, now appear crucial for Villa if they are to either haul themselves away or get sucked in.
"We're staying positive," said Albrighton.
"We've these two games now where we know we are good enough to beat those teams.
"So we're aiming for six points, nothing less, that will lift us back up the table."
It is Villa's home form, though, that is proving unfathomable, with Albrighton unable to put his finger on why it has gone wrong.
"I'd say we've had bad luck, but I don't just want to blame it on luck because I know the performances haven't been great.
"We know we definitely need to get out of this slump because it's not a good thing to have against you that you've not won in so many games at home.
"Villa Park should be a fortress, but it's not been good lately, and the fans will be the first to tell you that.
"We knew we faced a hard game against City, so the next time we play at home we have to put it right.
"We've just got to stick together, everybody at the club has to unite and hopefully we can get out of this slump and start winning football matches."
Albrighton's fellow midfielder Chris Herd has returned to full training after recovering from an ankle ligament injury which has left him sidelined since December. He will be available for the game against Wigan on February 25.