It is SWEEP ME UP, not sweet me

Meaning:

Force into some kind of situation, condition, or course of action

Verbs of being, having, spatial relations

Synonyms:

sweep up; embroil; drag in; tangle; drag; sweep

Context examples:

They were swept up by the events / don't drag me into this business

Hypernyms (to "sweep up" is one way to...):

involve (engage as a participant)