The Toffees received the sanction for breaching the Premier League’s financial regulations last November and their appeal against the punishment was heard at the end of January.
That verdict is now thought to be imminent but no exact date has been set for when it will be delivered.
“We haven’t got a clue, or I certainly haven’t at the moment,” said Dyche at a press conference.
“The guidelines that you (the media) suggest and we suggest have been for around about the end of the month, so we just have to wait and see.
“I don’t know all the legalities of appeals, of course, but I think it’s in everyone’s interest, firstly our own of course, and for the greater good of football – I think everyone’s wondering – it would be helpful if it’s sooner rather than later.
“But, as I said, I don’t know how the legal process, the timescales and why it takes so long. So we’ll just have to wait and see.”
The points deduction means Everton are now facing another relegation battle. After a 1-1 draw with Crystal Palace on Monday, they are above the bottom three only on goal difference.
The uncertainty does not end there with the club also facing a second charge of breaching financial regulations and a proposed takeover by 777 Partners proving a protracted affair.
Dyche said: “There hasn’t been much calm water since I’ve been at this club, that’s for sure – the odd week, and then another wave comes and hits you in the face. Let’s see how it tumbles forward.”
Dyche, whose side travel to Brighton on Saturday, has been pleased with the attitude of his players throughout a troubled period.
He said: “I think the players have been working very hard, very diligently. I’m very pleased with what they’re doing on a daily basis. I don’t think it is literally in the way of every day’s business.
“Of course, you still look at a league table that they adjusted immediately and took 10 points away – we don’t know whether that 10 points is fact.
“I’m sure at the back of their minds they’re still wondering, ‘Come on then, when are you going to tell us where we’re at and give us more of a factual kind of view?’, but we’re in the same mindset – it is where it is and that’s it.
“We look at where it is now and then see what comes. We can’t do anything about it until it’s done. “If we had a million conversations, it’s not going to change what’s happening in an appeal process. Unfortunately that process has taken some time.”