Verses with the word sworn in the New Testament (3 verses):

Acts 2:30
Therefore being a prophet, and knowing that God had sworn with an oath to him, that of the fruit of his loins, according to the flesh, he would raise up Christ to sit on his throne;

Acts 7:17
But when the time of the promise drew nigh, which God had sworn to Abraham, the people grew and multiplied in Egypt,

Hebrews 4:3
For we which have believed do enter into rest, as he said, As I have sworn in my wrath, if they shall enter into my rest: although the works were finished from the foundation of the world.