Moyes has little option but to continue to call on his youngsters when the Barclays Premier League action resumes with the small matter of a trip to Manchester United on November 21.
The Everton manager, though, would rather have been able to do so at a more suitable time.
"It is not just one game, we have had to do that in three or four games. It is a lot to ask of the young players," Moyes said.
"Jack has played an awful lot of football and while Dan (Gosling) is no doubt delighted to be playing, there are right moments when you should be playing youngsters and maybe we are having to play them at the wrong moments.
"On the evidence against West Ham, you would have to say both are mature players, and that can make them better and stronger.
"Then you can look at them not as young players, but players.
"However, we do not have enough in the team at the moment to help them as much as we should."