וַיֹּ֣אמֶר יַעֲקֹ֗ב הִשָּׁ֤בְעָה לִּי֙ כַּיּ֔וֹם וַיִּשָּׁבַ֖ע ל֑וֹ וַיִּמְכֹּ֥ר אֶת־בְּכֹרָת֖וֹ לְיַעֲקֹֽב׃
Jacob dit: "Jure le moi dès à présent." Et il lui fit serment et il vendit son droit d’aînesse à Jacob.
Or HaChaim
Alternatively, this can be understood as an oath. There are matters which are acquired only by means of an oath, such as items that are intangible. (the fragrance of the jasmin). Compare my commentary on Genesis 25,33 when Esau sold his birthright.