If you don’t mind me/my saying so…
Definition 1 of 1
Pro Tip 1/3Cultural Sensitivity
Understand the cultural context as some people might still find it intrusive or impolite. 
If you don't mind me saying so, this topic might be too personal for her.
Pro Tip 2/3Prefacing Critique
Use it before offering criticism to soften the blow, but remember it doesn't guarantee a positive response. 
If you don't mind my saying so, this report could use more data.
Pro Tip 3/3Expression of Humility
It's a way to show you're not assuming superiority when giving advice or opinions. 
If you don't mind me saying so, there's room for improvement in your essay.