The Foxes took an early lead when Richard Stearman superbly volleyed in Iain Hume's cross from 18 yards.
Soon after Stern John equalised, the Trinidadian slamming the ball home after a pass from Jamie Scowcroft.
Leicester's Patrick Kisnorbo was sent off for a two-footed foul on Andy Whing before Coventry nearly won it at the end when Dennis Wise hit the bar.
Leicester boss Rob Kelly:
"It was a bad tackle but mis-timed rather than malicious.
"I know Patrick Kisnorbo and he would never seek to deliberately hurt anyone - you could see that by his immediate reaction because he tried to help.
"But he's a good player and a good person who's already held his hands up and admitted he got it wrong."
Coventry: Fulop, Duffy (Whing 58), Shaw, Williams, Hall, Scowcroft, Doyle, Wise, McSheffrey (Thornton 72), Adebola (Hutchison 72), John.
Subs Not Used: Morrell, Heath.
Goals: John 11.
Leicester: Henderson, Stearman, Gerrbrand, Kisnorbo, Johansson, Maybury, Williams, Gudjonsson, Tiatto (Welsh 65), Fryatt (Hughes 71), Hume (Hammond 71).
Subs Not Used: Douglas, Brevett.
Sent Off: Kisnorbo (69).
Booked: Kisnorbo, Johansson, Fryatt.
Goals: Stearman 9.
Ref: K Hill (Hertfordshire).