Trevor Peake’s young Foxes could have been ahead inside 10 minutes, but forward Terelll Pennant’s close-range attempt was blazed over the bar.
For the Swans, Oliver Cooper was unlucky not to break the deadlock soon after while Shaquille Wytner-Coles was also denied by in-form City stopper Rhys Davies.
Connor Tee, meanwhile, narrowly missed the target from a free-kick, just outside the area, but Leicester were unable to secure a victory which would have seen them leapfrog Swansea.
As a result, Peake’s side remain fifth in the U18 Premier League South standings, one point behind the south Wales outfit and six adrift of third-place Southampton.
This weekend will pay witness to City’s final league fixture of the 2017/18 campaign when they host Norwich City at Belvoir Drive on Saturday (12pm kick-off).
The details…
City: Davies, Gyamfi, Thomas, Tavares, Ughelumba, Husek, Shade, Leshabela (c), Edwards-John (Thompson, 45), Tee, Pennant (Myring, 63)
Subs not used: James, Bosworth, Meite