By the sacred anointing of the sick and the prayer of the priests the whole Church commends those who are ill to the suffering and glorified Lord, that he may raise them up and save them. And indeed she exhorts them to contribute to the good of the People of God by freely uniting themselves to the Passion and death of Christ. -Catechism of the Catholic Church 1499

 

Is anyone among you sick? He should summon the presbyters of the church, and they should pray over him and anoint him with oil in the name of the Lord.  -James 5:14

Should anyone undergoing an illness of any sort desire the Sacrament at any other time, please contact the parish office.

Resources:
Catechism of the Catholic Church - Anointing of the Sick