According to Sky Sports journalist Fabrizio Romano, Leicester have seen the omission of Abraham as an opportunity to step up their pursuit.
Romano said on Twitter: “Leicester are among the clubs interested in signing Tammy Abraham.
“He’s one of the targets for #LCFC if Chelsea will open to sell him in the summer – Tammy is out of the squad today [for Man City clash].”
Vardy, 34, is approaching the latter stages of his career and has currently hit a dry spell of 11 games without a goal.
Super Eagles forward Kelechi Iheanacho has made up for Vardy’s poor goalscoring run with 11 goals in eight games in all competitions.
SEE ALSO | How To Play SportyBet and Win Everyday
But Foxes boss Brendan Rodgers will almost certainly still want to add to his squad this summer, especially if they qualify for the Champions League.