Have a lot on one's plate

используется в разговорной речи (have (got) a lot (enough, plenty или too much) on one's plate) иметь уйму дел, забот, быть занятым по горло Например: No, I think that would be worrying him too much. These people have a lot on their plate, you know. (C. P. Snow, Corridors of Power, ch. II) — Нет. Я не стал бы докучать этим премьер-министру. У него и так дел выше головы. He's got enough on his plate, she said. (A. Hailey and J. Castle, Runway Zero-Eight, Ten 0508-0525) — - У доктора забот полон рот, - сказала Джанет.

Англо-русский фразеологический словарь