sweep up is a verb meaning "force into some kind of situation, condition, or course of action". It carries 2 recorded senses.
take up the cause, ideology, practice, method, of someone and use it as one's own
“She embraced Catholicism”
“They adopted the Jewish faith”
Definitions, synonyms and semantic relations for sweep up come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.