Leicester's counter-attacking threat had been largely nullified, but they executed a perfect breakaway after 48 minutes, Jamie Vardy pouncing on Wanyama's loose touch to burst into the penalty area and square for Musa, who finished bravely under pressure from Walker.
Spurs again started to force the game, although the earlier pace had been sapped from their play and Leicester were able to drop in comfortably, reverting to their title-winning formula.
Schmeichel reacted sharply to hold a low, deflected Eriksen effort and Janssen again had the beating of Huth before clipping wide.
Spurs' final chances came and went in agonising fashion as Jan Vertonghen's powerful header hit the crossbar, before the Belgian then curled wide from 25 yards and Rose fired into the sidenetting, and Mauricio Pochettino will crave Harry Kane's return to add a clinical touch after five winless games in all competitions.