The 28-year-old signed a four-year-deal at Villa Park in 2009 after joining from West Ham United.
"I'd love to extend my contract here and stay at Villa as long as I can," the Welshman told The Sun.
"As long as the manager is happy and the fans are then I'd like to stay here as long as possible. I've only just turned 28 so I think my best years are definitely still in front of me.
"I am not too bothered about how much I have left on my current deal."
Collins is currently with the Welsh squad for their Euro 2012 qualifiers against Switzerland and Bulgaria, but he is likely to miss both matches through injury.