So, we have a bassinet we are planning on using for the first 2-3 months of our daughter's life. As everyone knows, it is recommended that you do not use bumpers anymore. Well, the bassinet has all sorts of fabric around it and on the sides. Is that a problem? Should we remove the decorative fabric while she's in it or not worry about it since she'll be right next to me while I'm sleeping?

It's this brand, just slightly different than this bassinet: http://www.kolcraft.com/baby-products/bassinets/all-bassinets/cuddle-n-care-rocking-bassinet-with-light-vibes-mobile.html