If you do receive offers of another job, you do not have to accept just any job that is offered in order to meet your duty of mitigating your damages.
For example, if you were employed as a professional in a position that paid more than $50,000 a year and offered substantial benefits, you would not be obligated to take a job at minimum wage, or to take the first thing that comes along. Likewise, if the type of position you held is relatively common, we are not aware of any law that would require you to conduct a nationwide search for employment or take a job in a distant or undesirable geographic location.
If you have any questions about your obligations if you do obtain a job offer, it is good to consult your lawyer before making a decision that could damage your case.