In the New Testament it's written that a man praying or prophesying dishonors his head; Meshiach Yeshua called Jesus the Christor God. But in the Old Testament the high priest wore turban.
1 Cor 11:4, 7 - Every man who prays or prophesies with his head covered dishonors his head. ... A man ought not to cover his head, since he is the image and glory of God; but the woman is the glory of man