Hi I had placenta previa before too. Yes, it might move up but mine didn't. I eventually had to remove my womb because I also had placenta accreta where the placenta got stuck in my uterus. My baby was also premature because of placenta previa. I delivered when I was 33 weeks. You can read more about my experience in this link.
http://sg.theasianparent.com/birth-story-i-almost-died-during-delivery/
theAsianparent has a very informative article on placenta previa. http://sg.theasianparent.com/placenta-previa/
There have been many successful stories of placenta moving up. All you need is more rest. All the best!
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