From Longman Dictionary of Contemporary Englishbeat a path to somebody’s doorbeat a path to somebody’s door (also beat down somebody’s door)GO if people beat a path to your door, they are interested in something you are selling, a service you are providing etc The new design was supposed to have consumers beating a path to their door. → beat
Examples from the Corpus
beat a path to somebody’s door• People are going to beat a path from all over to play these golf courses. 