swamped

informal

(informal) very busy; having too much to do

Japanese Meaning

非常に忙しい状態、たくさんの仕事に追われている / 手に余るほどの作業があり、対応に追われている

I'm swamped with paperwork and meetings this week, so I can't take on any new projects.

今週は書類作業と会議で手一杯なので、新しいプロジェクトは引き受けられません。

Sense（1）

(informal) very busy; having too much to do

They have been swamped ever since they started advertising.