They need two points from their remaining two matches to record their best total and also ensure a second successive finish above Liverpool - for the first time in the top flight since 1937.
"It is not something which has happened that often - finishing above Liverpool," said Moyes.
"It is not something we look out for and I am sure it is not something Liverpool look out for.
"It shows we are trying to make progress against a lot of the other good sides in the division.
"But the only thing that does matter is the European picture for us at Everton.
"We are trying to get back among the bigger boys and play on that stage as regularly as we possibly can.
"We have already nearly got the best total we've ever had. We had 61 when we qualified (for the Champions League) and we've got 60 now so we've had a pretty good season.
"It will be disappointing if we don't get rewarded for it but we'll try to win the last two games and see if we can get rewarded.
"The comfort for me would be to qualify for Europe. That would be my main objective, it doesn't change."