The Toffees are currently sixth - three points adrift of a Champions League spot - having drawn eight of their 15 matches.
In three of these matches the Merseysiders conceded a 90th minute goal but the Everton manager says you have to take it on the chin.
Moyes pointed out: "It is still fairly early in the season. We are not into Christmas time and a lot will change over the next month or two.
"So you don't need to be right up there right away, even though I'd like to be.
"Yes, I do curse one or two of those results but I also think there are good draws and bad draws.
"The good parts of the Man City and Arsenal matches were that in both games, there were periods where we could have won and there were also periods where I was happy with how we defended and made sure we didn't concede.
"But I think there have been other draws before that where we could say we let points slip and should have done a little bit better."
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