Lewis Bailey opened the scoring 19 minutes in at Staplewood Training Ground, before doubling his and Saints' tally from the penalty spot.
The young Foxes pulled a goal back with 12 minutes to play, offering hope of a potential comeback on the south coast, courtesy of Tanashe Manyumba's goal.
But the hosts re-established a two-goal advantage just four minutes later through Junior Kuzanga, wrapping up all three points for Andrew Surman's side.
Currently seventh in the standings, remaining on 35 points from 26 matches, our penultimate fixture of the campaign comes next Saturday, facing Arsenal at LCFC Training Ground (11:30am BST kick-off), before travelling to Chelsea on the final day.
The details...
City: Stretton (Hames 75'), Aideed, Diallo (c) (Simons 75'), Dignum, Jacklin, Manyumba, Lawrence (Corden 61'), Anugo (Szembell 61'), Boothe (Turrell 75'), Colangelo-Allen, Fletcher.
Goal: Manyumba 78'.