The 28-year-old Italy international played 11 games in Serie A this season after recovering from a serious knee injury.
"I really want to play, especially because in the last months I've had few opportunities," Rossi told local media on his arrival in Spain.
Levante are four points adrift at the foot of La Liga.
(Reporting by Silvia Recchimuzzi in Gdynia, editing by Ed Osmond)
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