She hoped she'd laid it on thick enough, though she thought she sounded stupid and insensitive.

"At the risk of sounding insensitive, considering how your last pregnancy went, I would consider that a good sign."

Alicia, I don't mean to sound insensitive, but some bad things are going to come out anyway.

People are hesitant to discuss what comes next, at the risk of sounding insensitive, but the starmaking machinery has shifted into gear.

"I don't mean to sound insensitive, Mr. Stone, but the only thing consistent in this case so far has been the lack of consistency."

Does that make us sound insensitive to Alf and Ralph's discomfiture?

I don't mean to sound insensitive to your problem, but.

I don't mean to sound insensitive, but I have a sneaking suspicion where this conversation is headed, and it's not the time.

"I loved her very much," he added, perhaps not wanting to sound insensitive.

She may sometimes sound cold and insensitive, but inside she's a very good person who wants the best for everyone.