He has o need, as did the high priests to offer sacrifice day after day, first for his own sins and then for those of the people. Jesus is Priest and is interceding for us right now at the Father's right hand. He has been doing this with the Father for 2000 years. He it is who has called us, the Church, to participate in His Priestly work of intercession. Sharing in His priesthood is a duty as followers of Jesus.
Intercession is a priestly action.
Both the priestly people and ordained priests are priests because we share in Christ's priesthood. It was through our Baptism that we became this priestly people, this royal priesthood, this holy priesthood, a people set apart. This is expressed in the Second Vatican Council's document, Lumen Gentium. The intercession of suffering needs to be considered. This is difficult to speak about because it is associated with the pain of actual suffering and the imagined pain of future suffering which complicates the issue.