很理解你的難處。背景調查不能回避； 建議留你們human resources 的電話。並注明； I am

currently employed with the company. If my manager becomes aware that I am seeking a new position elsewhere, my employment status may be jeopardized. Therefore, please contact the Human Resources office for any inquiries. The HR phone number is 123-456-7890. Please let me know if you have any question. Thank you.

一般人事處隻證實employment　dates。

如果新公司一定要supervisor的電話。那你隻能給了。如果feedback負麵的。也不要多擔心。因為不是你能控製的。

新公司要了幾個reference？如果有幾個。那不用那麽擔心一個負麵的feedback。