to button your lip;to button your mouth：缄口；不吭声；守口如瓶 to button up your mouth;to button up your lip：缄口；不吭声 .
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to button up your lip 不吭声
to button your lip
闭上嘴
以上为机器翻译结果，长、整句建议使用 人工翻译 。
Our boss plans to promote Jack, who is neither responsible nor capable. But you'd better button your lip and not say a word against it, because Jack is nobody but the boss's brother-in-law.
老板打算提升杰克这个既不负责任又不能干的人，不过你最好还是闭口不提反对意见，因为杰克是老板的内弟。
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