Words of Torah without a Kippah during a Haircut

I get my haircut by a God-fearing barber, and every time during the haircut, words of Torah are spoken around us. Is it permissible for me to speak words of Torah without a kippah?

According to the basic law, it is permissible to speak words of Torah without a head covering. However, as a measure of piety, one should not speak words of Torah with an uncovered head, and therefore, one can ask the barber to place his hand on the head, allowing the speaking of words of Torah.

The Shulchan Aruch, Orach Chaim, Siman 91, Seif 3 states: "There are those who say it is forbidden to utter a mention with an uncovered head, and there are those who say one should protest against entering a synagogue with an uncovered head." The Mishnah Berurah, Siman 2, Seif Katan 6, states: "Certainly it is forbidden to bless and to learn with an uncovered head, and covering with the hand does not help, as the hand and head are one body, and the body cannot cover itself." The Biur Halacha in Siman 92 refers to the words of the Ba'er Heitev, who writes that in Siman 2 it is a measure of piety, and in Siman 92 it is the basic law.