If the visa is already open, then there should not be any problems. But if the visa documents have not yet been handed in, the visa will not be opened. The validity of the passport must be at least 3 months from the date of application for the opening of the visa.

Officially, according to the Immigration Service of the United Arab Emirates, it is recommended that when applying for a visa to the UAE, they must have a passport with a validity of six months after the end of the trip. In addition, it is now possible to apply and open a visa if there are 90 days before the passport's expiration date (at least three months) - that is, such practice exists and it is in force. Please note that from the moment of opening a one-time tourist visa is valid for entry into the country within 60 days.

In your case, the probability of refusing to issue a visa is too high - it is better to make efforts to quickly replace the passport.