Monk’s team are currently on 50 points but a deduction of ten points or more will drag them down towards the bottom three. Rotherham are 22nd in the table and on 36 points.
Birmingham are believed to be hugely frustrated with the delay over the hearing and have been pushing for clarity for some time. A verdict on any punishment will be this season.
Monk has performed admirably this season despite being restricted by a transfer embargo after the club exceeded the permitted losses of £39m over a three-year period.
Birmingham also signed Danish defender Kristian Pedersen from Union Berlin for £2m while under the embargo, with the EFL admitting they were “exceptionally disappointed”.
With Monk’s hands tied in the transfer market, Birmingham have been unable to initiate contract talks with skipper Michael Morrison, whose deal runs out this summer.