But Moyes was happy with their 11th clean sheet of the season.
“I’m happy with the result, but not happy with the performance,” Moyes told Sky Sports.
“I have to give a lot of credit to West Brom today, they passed it well and made it difficult for us, and we were just a little bit behind it as well.
“I think there was maybe a little bit of tired minds, but I needed to see that myself in the first game without Mikel.
“I know what I’ve got to try and do to sort it and make it much better.”
Moyes added: “If there was one thing I do take positively from it was certainly my goalkeeper, and Phil Jagielka and Joe Yobo and the boys at the back.
“I thought they were immense. It’s a good record and we know we’re going to have to keep a few more clean sheets if we’re going to keep pushing up the league.
“I’m delighted because you’re not going to win all games as well as you’d like to play and today was a game we won without playing as well as we should have done, but nevertheless it’s three points hopefully towards a good total come the end of the season.”