The 23-year-old Nigeria international sustained the injury in Sunday’s 4-2 Premier League win over Burnley and missed their 2-0 home defeat by Arsenal in the League Cup on Wednesday.
“We are just waiting to hear more on that, but he could be anything between six and 12 weeks.
Ndidi had filled in as a makeshift centre back for Leicester in their victories over West Bromwich Albion and Burnley.
Rodgers’ side face Manchester City in the Premier League on Sunday.( Reuters /NAN)