How to mitigate Connection limit interfering with Existing session

Hi

I want to use connection limit to limit connection to pool member

But I have some question for when Existing client perform transaction.

If connection limit is reached and then Existing client try to submit transaction.

It will break application or F5 just send RST to client, At least it will redirect to fallback host if any. Am I correct?

Is there a way to mitigate this problem and ensure Existing client continue using normally

Thank you