Longman Dictionary of Contemporary English homepage

off-chance

 noun
     
off-chance , off chance

on the off-chance

if you do something on the off-chance that something will happen, you do it hoping that it will happen although it is unlikely:
I just came to see you on the off-chance that Pippa might be here.
Definition from the Longman Dictionary of Contemporary English
Advanced Learner's Dictionary.
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