This sacrament of holy anointing used to be known as "Extreme Unction" and people thought of it simply as a sacrament for the dying. However, it is first and foremost a sacrament for healing, and can be administered by the priest to anyone who is sick, inviting God's healing Grace to bring them consolation, peace, and restoration to health.
Nonetheless, it is also a sacrament of particular comfort to those who feel their call home to God might be very near, and in such circumstances please do not hesitate to call the priest to visit. Used at times like this, the sacrament is sometimes known as the "Last Rites," and whilst strictly speaking this is not the correct use of the term, we will understand what you mean.
The oil that is used has been blessed by the Bishop on Holy Thursday, before being distributed to all the churches of the diocese.