In most places this is pretty easy because a renters insurance policy is a renters insurance policy, you just have to make sure the level of coverage is the same. (effectivecoverage.com)
It doesn't matter what shape the house is in, or even if there are renters in there that you can't get rid of... don't worry about it. (millcreekhomebuyers.com)
The bottom line is, if you are renting, then there is a renters insurance policy out there for you. (rentersinsurance.net)