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The Moroccan international striker joined the Ligue 1 side last year in a £11 million deal after impressing for Rangers in his one season at the club.
He made an excellent start for Lille after scoring nine goals in 18 matches, but suffered a rupture of the anterior cruciate ligament in his right knee during the Africa Cup of Nations final against Senegal in January.
He's been out since, although he is now back in light training with the French club and expected to return to full training next month.
And he's been handed a major boost after Lille extended his contract.
Lille president Olivier Letang said: "Hamza has been given a new contract as a sign of mutual trust between the club and the player.
"He only had two years left on his contract at the end of the season.
"We believe in him."