May I speak off the record?

我可以私下里说吗？

《柯林斯英汉双解大词典》

In dealing with the media, avoid answering hypothetical questions, remember that the microphone is never really off, and never agree to speak 'off the record.

和媒体打交道时，不要回答假设性的问题，谨记麦克风永远不会真正关闭，绝不要同意“私下”谈。

youdao

Here is what I have been hearing from people very close to the situation who would only speak off the record: Anschutz got wind that Leiweke was trying to influence the choice of a buyer for AEG.

FORBES: The Real Reason Anschutz Pulled Plug On AEG Sale