What will be the terms of your lease contract? Is the new owner going to require you to move, or will be willing to rent you the property once they buy it? Have the short sale been accepted? Have the owner received already a Notice of Trustee's Sale, if so when is the sale scheduled for?
To give you the right advise we will need more information as you can see. But generally it will be a very bad idea to rent a property that is currently listed as a short sale. Unless you are ok with staying there, potentially, a very short period of time. They might have an acceptance in two weeks, or it might take 6 more months - of the foreclosure sale might be scheduled for next month. It will all depend.
Remember that the big majority of short sales never close, which means that there is a good chance that they property will be foreclosed and most probably you will have to move by the date of the foreclosure date to avoid being evicted.
Good luck, and think if twice before renting a short sale property unless you are aware of all the details and potential consequences.