As long as you're making a strong effort for continuous daily repentance and frequent confessions, the Eucharist may be administered. Ideally, one would like to see confessions made right before the Eucharist. In the Coptic Church, the priest prays a prayer of absolution where he first prays quietly to Christ asking for absolution from Him and the blessing to grant absolution through the Apostolic powers, and then prays loudly to Christ on behalf of the other clergy (priests and deacons), subdeacons and all ranks below, and all the people of the Church for their absolution, and then censes the whole church (in the old days, priests would cense, going to each congregant and cleric, taking account of their confessions) and taking the censing back all the way to the altar bringing everyone's sins to the Eucharist as a symbolism of Christ bearing and purging the sins of all.
Practically, this is hard for some communities, especially since confession has also turned into a sit-down session where the priest talks with you for an hour addressing your problems, kinda like a staretz in other churches.
We always mention that in Christ washing the feet of the Apostles, this symbolizes confession before the Eucharist (i.e. the Last Supper).