Hornsey remain within a chance of gaining promotion from the Middlesex County Cricket League Division Two but need other results to go their way.
They sit seven points behind second placed Brondesbury heading into the final game against Brentham, who are third and also seven points ahead of them.
Hornsey were beaten by title winners and rivals Crouch End in their last game, despite a score of 30 from Joseph Emanuel, as they were bowled out for 134.
Their opponents then completed the chase in just 27 overs.
Highgate, meanwhile, know they will be playing their cricket in Division Two next season as they sit fifth, 12 points off Brondesbury, who they take on this Saturday.
They were victorious over Wycombe House in their last fixture, bowling their opponents out for 154.
The chase was then completed just before the 26 over mark, which they managed to do without losing any wickets.
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