请问"up to one's neck"如何翻译

Up to one's neck (in)指某人手头要做的事实在太多,多得没法应付 e.g. I'm sorry but I won't be able to fix your TV for two weeks. I'm up to my neck in work right now. But I'll try to have it ready for you in time for the start of the football season. Up to one's neck in: 深陷入