The Reds have now lost five league games so far this season and Moyes says it is a clear indication that the club is going through big changes.
"There will be [light at the end of the tunnel] because it is a transitional period and that was always going to be the case," said Moyes after his side were downed by Yohan Cabaye's second-half strike.
"I hoped it wouldn't have been as poor as it has been in the last few games. When I came here I knew it was never going to be easy and it's proved to be that way."
Moyes added that the continued support of United's fans is imperative as the Reds seek to bounce back from consecutive league defeats.
"I think the United supporters have been great to me and great to the club," he said. "They understand there is a big transition going on here and, like me, I don't think they expected us to have lost five games at this stage of the season. We didn't expect that.
"But I think they understand that there is a change going on. We'll work hard, try to improve and try to get better."