hover around (someone or something)
To position oneself near or around someone or something else; to linger near or around someone or something else. If you keep hovering around me like this, I'm going to put you to work setting the table!
hover around (someone or something)
to hang or wait around someone or something. The mugger hovered around the side door to the theater, waiting for a victim. The birds hovered around the bird feeder.