Several well-known musicians studied under Batiste while at Southern University. They include Branford Marsalis, Randy Jackson, his brother Herman, Donald Harrison, Lee Allen, Henry Butler, Charlie Singleton (Cameo), Ronald Myers and Woodie Douglas (Spirit). Mike Esneault, an Emmy Award-winning composer, pianist, and educator was also mentored by Batiste. Several members of the Jazz at Lincoln Center Orchestra such as Reginald Veal, Wess "Warmdaddy" Anderson, and Herlin Riley were disciples of Batiste, some of whom were referred through Branford Marsalis. Jon Batiste called Alvin the clarinetist "who taught everyone from New Orleans music over the last 40 years."[4]
Batiste died in Baton Rouge, of a heart attack in his sleep, aged 74.[5]