Wes Morgan's header saw off Southampton 1-0 at the King Power Stadium.
Leicester will win the title if they win four of their remaining games however manager Claudio Ranieri says they’re not getting carried away.
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Southampton remain seventh after a first defeat in four matches.
Manchester United are still in the chase for a Champions League place.
They beat Everton 1-0 at Old Trafford.
Victory leaves United one point behind fourth-placed Manchester City.