Chauvin is in stable condition after the assault at the Federal Correctional Institution in Tucson, a source told CNN.
When asked about the report of Chauvin being harmed, FBI offices in Phoenix and Minneapolis the American news channel that they were aware of an assault that happened at the federal prison on Friday, but did not identify a person.
The white former Minneapolis police officer was convicted of murdering the 46-year-old African-American man Floyd in 2020.
Chauvin was filmed kneeling on Floyd's neck for more than nine minutes, sparking mass protests globally against racism.