The group was competing with one other anonymous party for control of the club and stadium.
Pars United revealed the news on its official Twitter account.
The group wrote: "We are delighted to announce we have been named preferred bidder by the administrators. Still a lot of work to do."
A statement from club administrators BDO is expected later.
Administrators BDO soon confirmed the fans' alliance had attained preferred bidder status for both the club and the stadium, which was placed under separate ownership and is being controlled by another administrators, KPMG.
BDO's Bryan Jackson said: "I am glad that we are now able to announce a preferred bidder for DAFC. This means that we can now move the process forward with Pars United, who have worked hard over the last few weeks and are now in the driving seat regarding the club.
"We will work closely with them as we present their bid to the creditors and, hopefully, win their backing to push for a CVA (Company Voluntary Arrangement) within the next few weeks."
Pars United had set a target of raising £500,000 to buy the club, who were relegated from the First Division after being hit with a 15-point penalty after going into administration in March.
Total club debts are believed to be about £12million with most of that thought to be due to East End Park Ltd and other companies also associated with majority shareholder Gavin Masterton and his family.