In 1995, he made an unsuccessful bid for lieutenant governor to succeed Melinda Schwegmann; victory went to his fellow Democrat Kathleen Blanco of Lafayette, who later served a term as governor from 2004 to 2008.
In 1995, Chevalier made an unsuccessful bid for lieutenant governor to succeed Melinda Schwegmann but finished with only 27,900 votes (2.1 percent). Victory instead went to his fellow Democrat Kathleen Blanco of Lafayette, who later served a term as governor from 2004 to 2008.