The Apostolic Fathers attested to the practice in the early church.
(Syria, 70-110) (Ch 7)
"Regarding baptism, baptize thus. After giving the foregoing
instructions, "Baptize in the name of the Father, and of the
Son, and of the Holy Spirit" (Mt 28:19) in running water. But,
if you have no running water, baptize in any other; and if you
cannot in cold water, then in warm. But, if the one is lacking,
pour the other three times on the head 'in the name of the
Father, and Son, and Holy Spirit'."