The Everton boss, whose contract runs out at the end of the season, is looking to bring in new faces when the transfer window re-opens in order to ensure their goals are met in both competitions.
“Being in Europe helps keep better ones and also to attract players,” Moyes stated to reporters. “But if we played Thursday and Sunday, we’d be wiped out. So the other side of it is that, if we do make it, we will have to add more numbers.
“Clubs with bigger squads, going away on these long trips can still have an impact on their season. So how we would cope — and I hope we’re going to have to — is by making sure we have more players in.
“I’d love to say that if we got to Europe we would gladly play that team week in week out if I could, but undoubtedly that would detrimentally affect how you do in the Premier League. It can have a problem with fatigue.”
Moyes won the March manager of the month award after his team won all three of their Premier League games, including a 2-0 victory against Manchester City.
The Merseyside club are yet to face Arsenal, Liverpool and Chelsea away from home in their remaining games, after they travel to White Hart Lane on Sunday to take on Andre Villas-Boas' Tottenham side.