Anyone else experiences non-stutters stuttering when you talk to them?

Anyone else experiences non-stutters stuttering when you talk to them? I have this co-worker who's fluent and has no speech impediments at all but when I (someone with a mild/average nervous stammer) talk to her, she starts stuttering all of a sudden. Anyone else experiences this? Is stuttering infectious or that's how some non-stutterers try to make us feel less bad?