The phrase "bore off" is an informal expression used to ask someone to stop annoying or bothering us. Antonyms for "bore off" include "entertain," "amuse," "delight," "fascinate," "stimulate," and "captivate." These words suggest that we want the person to engage us in a pleasant and enjoyable discussion or activity, rather than being a nuisance. Alternatively, we could use expressions like "stay" or "don't leave," indicative of an invitation to continue the conversation or interaction. Whatever the alternative expression may be, the important thing is that it conveys a more positive connotation than "bore off.