From Longman Dictionary of Contemporary Englishoff-chanceˈoff-chance, off chance noun → on the off-chance
Examples from the Corpus
off-chance• There was no time to contact him, so I came on the off-chance.• I just came on the off-chance.• It was a long way to drive on the off-chance that something would come of it.• The card is too expensive on the off-chance I could get in an away game during the season.• I walked over to the wardrobe and opened the door just on the off-chance.• I rang Otto on the off-chance. 