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The Scot revealed on Tuesday that the Hammers are almost ready to announce a new contract once the season is over, and Moyes wants to plan for the future.
Despite an option for an extra year in the deal he signed upon his return to the London Stadium in December 2019, which expires after this season, Moyes and co-owner David Sullivan have been in talks over something more permanent after seeing the club rise from a relegation battle to a fight for Europe.
“It’s not done completely," Moyes said of the deal. "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."
Following his first stint, when Moyes replaced Slaven Bilic to avoid the drop, he was not offered the chance to build on his work.
When 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.”
After a spell of high spending and underachievement under Manuel Pellegrini - the manager who was preferred to Moyes the first time around - the former Everton boss is now looking to settle things down and build steadily from a season which has seen the Hammers realise their potential.
"I think I'm a good football man and I've always felt that West Ham needed a level of stability," said Moyes.
“I hope that I can give them that and they see that and think, 'That's the way to go.' I can't see West Ham being a club who can spend a big chunk of money in order to get success. I don't think we're able to do that.
“I think we'll probably have to put another layer of bricks on it. Then you get to a level where you're stable, competitive, consistent and I think that's the way for West Ham to build.
“Everybody wants a quick fix now, but it can't always be a quick fix unless you're bringing in bundles and bundles of cash. I'm not sure that's the model we've got.”