Are these two names too similar for cousins?

My husband and I decided several years ago that we would name our first daughter Quinn. We have a niece named Corrine (pronounced like ker-in). Never thought anything of it until we were at her birthday party the other day and I overheard this kid with a slight speech impediment say her name and the way he said it, it kind of sounded like Quinn. I brought it up to my husband on the way home and we both hear the similarity now. We have two nephews named John and Sean and I just don't want a repeat of that lol. Those two are cousins and don't see each other too often, so it's not too big of a deal, but our kids and Corinne will be close and at every family gathering together. Do you think the two names are too similar? I'm absolutely heartbroken at the thought of having to give up on the dream of having a little girl named Quinn, but I don't want to be like my sister-in-law and give cousins rhyming names. Of course, I know when the time comes we could change our mind on the name anyway, but right now I can't see that happening and just want others' opinions.