A Muhrim should neither marry himself, nor should he be got married to anyone, nor should he make the proposal of marriage.
Sahih Muslim Book 16, Hadith 51
← Previous Hadith Umar b. Ubaidullah b. Ma'mar sent me to Aban b. Uthman as he wanted to make the proposal of the marriage of his son with the daughter of Shaiba b. Uthman. He (Aban b. Uthman) was at that time (busy) in the season of Pilgrimage. He said: I deem him to be a man of the desert (for it is a common thing) that a Muhrim can neither marry, nor is he allowed to be married to anyone. It is Uthman (b. Affan) who reported this to us from Allah's Messenger (ﷺ).

Sahih Muslim Book 16, Hadith 50 Next Hadith → A Muhrim should neithermarry (in that state) nor make the proposal of marriage.

Sahih Muslim Book 16, Hadith 52