Some people who we love deeply, just cannot do this. If we're physically there, a reason to interrupt will always be found. IMHO it's not worth damaging the relationship.
I don’t want to read too deeply into your comments, but it may be worth exploring why expressing this need feels like it would damage your relationship. It could be that you both need to adjust your communication patterns to better express yourselves and hear each other.
Some people who we love deeply, just cannot do this. If we're physically there, a reason to interrupt will always be found. IMHO it's not worth damaging the relationship.