CCC 1312 The original minister of Confirmation is the bishop.1
In the East, ordinarily the priest who baptizes also immediately confers Confirmation in one and the same celebration. But he does so with sacred chrism consecrated by the patriarch or the bishop, thus expressing the apostolic unity of the Church whose bonds are strengthened by the sacrament of Confirmation. In the Latin Church, the same discipline applies to the Baptism of adults or to the reception into full communion with the Church of a person baptized in another Christian community that does not have valid Confirmation.2

1 Cf. LG 26.
2 Cf. CIC, Can. 883 § 2.