The Scotsman stated on Tuesday that his club could be close to announcing an extension to his present contract.
Moyes has the option for an extra year on his current deal, but both parties want to make the arrangement long term.
West Ham are enjoying an excellent season in the Premier League, and could still finish in a Europa League position.
"It's not done completely," Moyes said of the deal, per the Evening Standard.
"We have a wee bit to do yet but I don't think it'll be major things.
"I am happy. I enjoy working here. It has been good. The players have been fantastic and we are building up a really good group of players.
"I think we can progress again. All those things are in place. We are not there yet and I will probably wait these last two games and then see if we can tie it up."
Asked if this deal was a long-term agreement, the 58-year-old said: "You can say that, that's the plan. There are few bits to get done where not all the edges are fixed, but overall there is a lot of it in place at this moment in time.
"You'd have to credit the board here for, I feel, for bringing me back - because I didn't think I should have been let go in the first place, but that is another matter.
"But now they have and hopefully they would see it was the right decision, and they were big enough to go back and make that decision."
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