Latest reports suggest that the former AS Roma captain has turned down a move to Boca Juniors in favour of a move to Los Angeles FC.
According to ESPN, the Major League Soccer (MLS) club has already freed up the necessary salary space to sign the 35-year-old following Andre Horta's move to Portuguese club Braga earlier this week.
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De Rossi officially ended his 17-year association with AS Roma last month following 616 appearances for the club.
Additionally, the 2006 FIFA World Cup winner made over 100 appearances for Italy.
LAFC have made a stunning start to the league season, and currently top the Western Conference standings by nine points.