The Gillingham captain has come to the end of his contract at Priestfield and is free to leave on a Bosman ruling, with reports suggesting a deal with the Dons has been done.
Ardley told the club's official website on Wednesday: "We have spoken at length with Andy Frampton and terms have been agreed with the player, but he is currently away on holiday.
"As a club we like to do things properly and we do not announce that we have signed a player until he has signed on the dotted line and passed a medical.
"Although we are hopeful of concluding a deal and Andy would be a major asset to us if he signs, we do not wish to comment further until he has signed."
The 33-year-old centre-back has previously made over 100 appearances for Millwall and played 164 times for Brentford.