A statement on the Shakers' official website on Wednesday made an appeal for £1million of external funds to prevent the club from closing.
Boss Kevin Blackwell held a press conference on Thursday and insisted he remained in the dark over the latest developments, with a board meeting at Gigg Lane ongoing at the time.
But shortly after 3pm, Bury released a statement from the board of directors that painted a marginally brighter picture than the previous day.
The statement read: "Following the statement posted on the club's website yesterday, the board can confirm that we have had positive discussions with potential investors to secure the long-term future of Bury Football Club.
"We anticipate that the investment funds being requested will be used to continue running the club in a normal trading manner which would include paying outstanding creditors and season ticket commitment.
"We would hope that supporters will continue to support the club in the remaining fixtures."
Bury lie bottom of League One and will have their relegation confirmed if they lose at home to neighbours Oldham on Saturday.
The were placed under a second transfer embargo this season in February after once again approaching the Professional Footballers' Association for a short-term loan.