Non-Compete Employer leaving area

I currently work for a contract company that provides ultrasound services to a local hospital. We were recently informed that the hospital will not be renewing the contract in Feb and we will be w/o a job. We signed an employment agreement with a no-compete clause. I don't have the specifics as I did not receive a copy. I have found a new job, and did formally resign my current position but my employer is bringing out the non-compete issue. This company is located in Cincinnati and will no longer have any available work in Cleveland. The employer says they will "let me out" of the non-compete if I take my original "on call" schedule through Feb, my question is.. is the non-compete enforceable if I have no proprietary,trade secrets related to my current employer and also that they are leaving the current market