What does 2 Kings 2:6 mean?

Elijah said to Elisha, 'Stay here. God is sending me to Jericho.' But Elisha replied, 'As surely as God lives and as you live, I'm not leaving you.' So they went to Jericho together. 2 Kings 2:6 - Modern Text Bible

(Elijah repeats his request, but Elisha remains steadfast, refusing to leave his mentor.)