Or HaChaim on Genesis 24:8/אור החיים על בראשית כ״ד:ח׳

1 ונקית משבועתי זאת, "and you will be relieved of this oath of mine." This means that Eliezer will be relieved of the duty to take a wife for Isaac from Abraham's birthplace; the oath not to take a wife for Isaac from the local Canaanites would remain in force, however, seeing it was something under his control.

2רק את בני לא תשב שמה; "only do not bring my son back there." Abraham did not make Eliezer take an oath concerning this part of his instructions. This was only an answer to Eliezer's question how to act if the bride to be refused to come to the land of Canaan.