Spokeswoman Shari Hall said late Wednesday that preliminary reports indict Tuesday's assault was gang-related.
She says the three officers suffered "significant injuries." They have been released from a hospital and are recovering at home.
Superintendent Steve Sinclair commended the officers.
No inmates were seriously injured. Hall said earlier that nine inmates from the prison's West Complex were segregated after the incident.
The West Complex is a close-custody unit that houses about 800 offenders, including the prison's gang units.