Blench (2006) reclassified Bussa from the Dullay to Konsoid branch of Cushitic, but left the Mashole, Lohu, and Dobase (D'oopace, D'opaasunte) dialects in Dullay as the Dobase language. He considers Mashile (Mashelle) to be a distinct language within Konsoid.
Bussa is highly influenced by surrounding Cushitic and Omotic languages and should be considered endangered according to Gurmu (2005). Speakers of the North Bussa variety are shifting to Oromo, Dirasha or Amharic, whereas speakers of the West Bussa variety are shifting to the Omotic languages Zargulla, Zayse and Gamo. Important factors for the ongoing language shift include intermarriage with other ethnic groups and heavy contact with neighbouring people.