Well, I have encountered three translations that do use or imply the word will in Philippians 2:11 at the Blue Letter Bible Site.
CSB version of Philippians 2:10-11 “so that at the name of Jesus every knee will bow — in heaven and on earth and under the earth — and every tongue will confess that Jesus Christ is Lord, to the glory of God the Father.”
NASB version of Philippians 2:10-11 “so that at the name of Jesus EVERY KNEE WILL BOW, of those who are in heaven and on earth and under the earth, and that every tongue will confess that Jesus Christ is Lord, to the glory of God the Father.”
NET version of Philippians 2:10-11 “so that at the name of Jesus every knee will bow - in heaven and on earth and under the earth - and every tongue confess that Jesus Christ is Lord to the glory of God the Father.”