According to reports, the convicted murderer, serving a 38-year sentence for his 2012 conviction in the death of his third wife, Kathleen Savio, had been transferred to the prison one month prior.
The attacker, who has yet to be identified, attacked Peterson with a food tray on March 29 in one of the dining areas of the maximum-security prison, an insider told The Chicago Tribune.
Peterson wasn't seriously injured during the incident and has since been removed from the communal areas of the facility.
His lawyer, Steven Greenberg, is looking further into the matter.
Peterson will be up for parole in 2081.
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