This meaning is reflected in the name "Santa Claus" as it originates from the Dutch "Sinterklaas," which is a corruption of "Sint Nicolaas" (Saint Nicholas).
The name "Nicholas" itself is of Greek origin and means "victory of the people." However, the "Claus" part of the name is linked to the tradition of Saint Nicholas leaving gifts for children through a "closed" chimney.
Therefore, the "Claus" part of the name refers to the closed space associated with the delivery of gifts.