I just bought one of these very similar to yours a couple of months ago for my little Tatum so that I can keep her in it after she has her LP surgery. I had a play pen a couple of years ago when I first brought my little Stedman home, and that boy learned to crawl up and OUT of the whole entire thing at only 13 weeks old! He is an acrobat though

My little Tatum would NEVER be able to crawl out of one of these (she is almost 2 years old) - and especially not after she has her LP surgery...not to mention, she is deathly afraid of heights!
Have you considered getting an xpen for your baby? Or what about a gate to block her off in the kitchen or somewhere else in the house?