The 19-year-old defender has already passed his medical and a full agreement has been reached between the two clubs, as per transfer expert Fabrizio Romano.
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Srdanovic is expected to sign a four-year-deal with the French side who finished third in Ligue 1 last season, securing a UEFA Champions League spot for the new campaign.
The promising full-back made 13 appearances for Servette during the 2025/26 season, providing one assist.
Lille's new man has represented Switzerland five times at U19 level.
He will now continue his progression under new boss Davide Ancelotti, son of Brazil head coach Carlo Ancelotti.