Conrad Murray -- You Have a Couple of FEMALE Visitors

Inmate #2926725 may have gotten a visit from a couple of special ladies today ... when Conrad Murray's baby mama Nicole Alvarez (above left) AND his own mother (below left) rolled over to Men's Central Jail to check in on the doc.

It's unclear how much time the ladies were actually allowed to spend with Murray ... if any.

Murray has been locked up for 31 days now ... ever since he was sentenced for manslaughtering Michael Jackson.