When an adverbial phrase is placed near and before the verb, commas are required. Is there any rule for such the comma requirement?

Always find that when an adverbial phrase is placed near and before the verb, commas are required. For example:-

"We will, on or before 8 February 2021, provide you with the documents you have requested."

"We will, on request, provide you with a copy of this letter."

Is there any rule for such the comma requirement? If no, can those commas be omitted (without changing the meaning of the sentences)?

Thank you in advance.