The 34-year-old was treated on the pitch later a crash with Reds’ safeguard Joel Matip, however selected to play on to the last whistle.
He had missed the 26 December rout by Manchester City with a similar physical issue.
“It very well may be the following three to about a month, said administrator Brendan Rodgers of Vardy’s nonappearance.
Individual striker Patson Daka is out for another two-three weeks in the wake of limping out of the group’s Carabao Cup rout by Liverpool, while forward Kelechi Iheanacho has been called up to the Nigeria crew for the Africa Cup of Nations alongside colleague Wilfred Ndidi.
The competition starts on 9 January, with the last on 6 February.
Vardy, who has scored 11 objectives in 22 appearances this season, adds to an extensive physical issue list at Leicester that includes another seven players.
The Foxes’ forward choices give off an impression of being restricted to Ademola Lookman and Ayoze Perez for the following not many weeks.
Rodgers said the requests of a furious installation plan and the tension that Covid-related unlucky deficiencies are having on crews added to Vardy’s physical issue.
I think the weakness component in that blend of games has likely prompted it, he added. The players are not robots. Individuals think, since they are paid huge amount of cash, they should end up and play each and every day of the week and that is not the situation.
It’s the mix of games we have had – and the recuperation time that has made it hard for him.