This says nothing of the cost of breaking a lease or the expense of moving itself. If you don't have the 3+ month savings, unemployment checks are eaten away by basic living in no time flat.
This is being said by someone who had a paycheck bounce which in turn lead to what would have been a bad check written for rent. Fortunately I had a friend who loaned me $1k for rent who banked at the same place and immediately got me in touch which another job offer.