"Ayaw kong magsalita ng tapos."
I don't want to have the final word.
I don't want to have the final say.
I want to keep things open between us.
I want to keep the lines of communication open between us.
I want us to keep talking.
Depending on the situation and the exact context, you could even alter the idiom about burning bridges and say:
I don't like burning bridges behind me.