The motto Nil Satis Nisi Optimum, which means "nothing but the best is good enough", dates back 75 years but disappeared as part of a redesign.
The club apologised in May after 22,000 fans signed an online petition condemning the "awful" 2013-2014 badge.
Fans can vote on three new designs on the club website from Monday.
Club communications director Alan Myers said: "There were clear messages that have come out from fans as to what they want.
"The motto Nil Satis Nisi Optimum will be on the new crest because 95% to 96% of fans said they want it and that's what we wanted."
Everton consulted more than 200,000 fans and also players following criticism of the "embarrassing" new crest.
The club said one fan travelled from Spain to Goodison Park to have his say about the redesign - even though he was advised an online form was available.
The new crest ideas will be unveiled on Monday 23 September.

The Ivorian's agent, Dimitri Seluk, said this week that he would "listen to any offers on the table" this summer.
Pellegrini dismissed the speculation, suggesting the 32-year-old midfielder should "think in the present".
"Yaya is mentally absolutely involved in this season, and not thinking about his future," he said.
"I know what Yaya thinks. He wants to continue being the same important player that he has been for this team in other years."
Manchester City sit third in the Premier League table, one point behind Arsenal and Leicester City, and travel to West Ham for Saturday's late kick-off at 17:30BST.
Everton FC are to restore the club's motto to their crest after its removal prompted outrage from thousands of fans.
[NEXT_CONCEPT]
Yaya Toure is focused on Manchester City's season and will not be distracted by transfer speculation, according to manager Manuel Pellegrini.