Democrat State Senator Troy Brown of Napoleonville may face discipline during a special session of the state legislature which begins on Monday.
Brown was twice arrested on domestic violence charges and twice pleaded "no contest."
The first incident involved a girlfriend who was punched in the eye in New Orleans in November 2015 and the second occurred last summer when he bit his wife during an argument.
Brown has resisted the appeals of some colleagues that he resign from the Senate. Calls for his resignation have come from Governor Edwards and other fellow Democrats including Senator J.P. Morrell of New Orleans and state Representative Helena Moreno.
Now, Republican Senator Dan Claitor says he has prepared a resolution calling for Brown's expulsion from the Senate. Another member of the Senate, Yvonne Dorsey Columb of Baton Rouge reportedly will file a resolution that could result in Brown's temporary suspension.
Any disciplinary action would have to be approved by 26 of the 39 members of the Senate.