I did not want to interrupt her train of thought.
He didn't want to interrupt her, at least not yet.
I started at the name, but didn't say anything, not wanting to interrupt the story.
I saw you on the phone and didn't want to interrupt.
She didn't want to interrupt Robert if he was in the middle of a call.
Perhaps he didn't want to interrupt her during a difficult maneuver.
This was going so smoothly he didn't want to interrupt it.
"I walked out for it but didn't want to interrupt."
"Actually, I saw you reading to the kids and didn't want to interrupt."
Everybody wanted to interrupt, but she didn't let that happen.