Last week, a jury found Hernandez not guilty of first-degree murder in the killings of Daniel de Abreu and Safiro Furtado.
Hernandez grew up in Bristol and played for the New England Patriots from 2010 to 2012.
About six weeks after Furtado and de Abreu were killed, he signed a five-year, $40 million contract with the Patriots and went on to play another season before Lloyd was killed.
He was cut from the team shortly after he was arrested in Lloyd's killing in June 2013. He was not charged in the 2012 killings until 2014.
In an email to Fox Sports, Patriots spokesperson Stacey James wrote that the team was aware of reports, but didn’t anticipate commenting today.
CNN and The Associated Press contributed to this report.