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The Moroccan international signed with Lille last year for £11 million after an impressive season with Rangers.
He scored nine goals in 18 matches before suffering an anterior cruciate ligament rupture during the Africa Cup of Nations final in January.
Igamane has been out since but is back in light training with a return to full training expected next month.
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."