The American entrepreneur was expected to close the deal at several meetings last week, but told fans on social media that Bank Holidays in the USA and UK had held back the money transfer process.
However, it looks as though it may not go ahead as planned, with Kirchner believed to have missed all of the completion times to seal the swoop for the Rams.
The deal was expected to be completed by May 31, the EFL previously stated, and supporters have endured a painful eight months, which has seen the club suffer a 21-point deduction and relegation to League One.
Derby went into administration back in September 2021 after previous owner Mel Morris overspent and incurred debts of over £60million.
Any takeover would not only see the club out of administration, but would also see the ownership of their Pride Park Stadium swap hands, as it's still in the name of Morris.
After the EFL ensured Kirchner had 'conditional approval' to buy the club, they were satisfied at the proof of funds - lawyers were then expected to sign and exchange contracts, but no further closure meeting has been confirmed as yet.
Derby commentator Ed Dawes claimed: "It's my understanding that the deal will collapse today.
"There is a problem with closing this deal and huge frustration.
"When they were asked to transfer proven funds, they couldn't.
"Then it was over."
At the time, the EFL had said: "Final approval is subject to Mr Kirchner completing on the Asset Purchase Agreement and a deal being finalised in respect of a lease on the stadium by 31 May 2022.
On May 27, Kirchner tweeted: "Officially closing on Tuesday [May 31]."
However, when that did not happen, Kirchner moved to allay fans' concerns, posting an update on June 2 reading: "Nothing to be alarmed about.
"End of May was chosen because of scheduling for EFL… and everyone collectively didn't think about the three combined bank holidays this week.
"Working through it and believe we have it resolved. Enjoy your weekend of celebrations."
There have since been no comments from Kirchner, who is understood to be stalling due to logistical issues.
Former Newcastle owner Mike Ashley is still one of the interested names ready to secure a deal to buy the East Midlands club.
The 57-year-old could make a last minute bid for the club and would also depend on whether Kirchner drops out.
Manager Wayne Rooney will be desperate for funds to rebuild the Rams as he eyes promotion back to the Championship, but faces a race against time in doing so with the new League One season kicking-off on July 30, and no sign of closure on any deal.