Moyes’ assessment came partly due to an eye-catching save Lammens made to deny a long-range effort from Michael Keane that was heading for the top corner at Hill Dickinson Stadium.
But mainly it was for the unfussy way the £18.1m summer signing from Royal Antwerp dealt with a succession of corners fired into his six-yard box.
The trust that exists between Lammens and his defenders is clear – and there is growing faith from United’s supporters too.
“The first thing you have to do as a goalkeeper is make saves,” says Lammens. “But I take a lot of pride in doing the other things well.
“Maybe it’s not always the box-office stuff but if you know a little bit about goalkeeping, that’s as important for your team-mates to trust you and help out the team.”
Former United keeper Edwin van der Sar offered a positive assessment of Lammens’ abilities on Sky Sports on Monday.
Current Belgium number one Thibaut Courtois has also spoken highly of his compatriot.
But, when asked for his own role model, Lammens looks to Germany.
“My biggest idol was probably Manuel Neuer,” he said.
“I take pride in being an all-round goalkeeper. That’s why I was such a big fan of his. He didn’t really have something that was clearly not the best thing in his game.”
United’s goalkeeping scout Tony Coton pushed for Lammens’ signing – against the wishes of Ruben Amorim, who had wanted to bring in World Cup winner Emi Martinez from Aston Villa.
It was a huge call. So far, it has been justified.
Veteran Tom Heaton, United’s third-choice goalkeeper, has been a big help, offering Lammens useful advice about not trying to chase the game.
Moyes marvelled at the way United’s new number one dealt with Everton’s bombardment of corners, which drew criticism from some – but Lammens accepts as part of the game.
“I was always told England was the best league, but that physicality is the biggest difference,” he said. “It’s always been a strength of mine, even in Belgium.
“Now there are more bodies in front of you. You have to be big and not be pushed around easily. My physical features are positive for those situations. In training, you have to visualise these things and all the bodies you are trying to navigate.
“It can’t get to the point where it is too much, but I enjoy it, getting out of my comfort zone.”
Away from Carrington, Lammens prefers to switch off from the high-pressure environment of top-flight football. He is more likely to be found watching basketball than Premier League games on TV.
But the Belgian’s status at United is now established. Altay Bayindir will not be replacing him any time soon and the idea Andre Onana might come back from his loan spell in Turkey to reclaim the number-one role is fanciful.
However, perhaps predictably, Lammens is not getting ahead of himself.
“I said a couple weeks ago I couldn’t imagine it going any better, but I don’t want to look to the past too much,” he says.
“I mean, it’s great but I still have to prove myself every week. I’m not satisfied by it. I am happy it went well but it’s not the end.”