Two successive defeats and the sale of home-town hero Gary McSheffrey to Birmingham City had made this a big game for so early in the season.
But although the game failed to live up to expectations, Micky Adams' side did enough to silence the unhappy supporters.
It could, however, have been very different as the early running was done by Leicester while Coventry's new post-McSheffrey formation struggled to make any impact.
Patrick Kisnorbo made the first foray on goal in only the sixth minute when he moved on to a free-kick from Stephen Hughes, but directed the ball wide of goal.
Matty Fryatt was causing problems to the heart of the Coventry defence. The former Walsall striker set up a chance for Elvis Hammond in the 12th minute and, three minutes later, when his shot was blocked by Matt Heath, Josh Low fired the loose ball wide.
Coventry full-back Andrew Whing, in for the injured David McNamee, got forward to good effect after 17 minutes when he played a pass to Don Hutchison and continued forward to collect the return ball.
He managed to get into the visitors' area and forced Paul Henderson into his first save of the game.
Hutchison was working hard alongside Stern John, but his best two attempts came from set-pieces from outside the area. He hit the first wide and the second was kept out by Henderson.
Colin Cameron, making his first appearance at the Ricoh Arena since his close season move from Wolves, was also working effectively in an advanced midfield role. He created a half chance for John and then ran 25 yards to charge down an attempted clearance from Henderson, only for Chris Birchall's shot to be blocked.
Leicester recovered their rhythm and ended the half the stronger, Nils Eric Johansson should have done better in the second minute of added time, but his right-foot shot was pushed clear by Andy Marshall.
Heath, who joined Coventry from Leicester a year ago, had the perfect chance to bury his former team-mates right at the start of the second half.
Coventry strung together their best move of the game when Elliott Ward and Cameron combined to put Marcus Hall free down the left flank. The full-back delivered the perfect cross but Heath, unmarked ten yards out, managed to head wide.
Both sides made their full allocation of subs in a bid to steal the points but they lacked the quality to make a decisive breakthrough.
Moroccan midfielder Faysal El-Idrissi, signed on a short term deal in the summer, could have made an instant impact when, just short of hour, he tried his luck from 25 yards and sent a shot just wide of goal.
Coventry ended the game in the ascendancy. El-Idrissi had clearly made a difference and, from the early indications, looks a real find.
Leicester were lucky to survive a late scare as Cameron again caused them trouble by moving ahead of the strikers to move on to an inch-perfect pass from Whing.
Dele Adebola moved in for the kill, but Patrick McCarthy got there in time to concede a corner.