What can part-time indep contractors offer in terms of language to replace a non-competer clause?

I am being offered a temporary work assignment for 2 1/2 months as an independent contractor. I have worked for the company for 3 months via a staffing agency. The company now wants to make me a 1099 contractor but I will have to sign a non-compete clause that says I am unable to work for any of their current client for 1 yr after I leave the assignment. The company has indicated that they may make me an employee in the new year but right now I will be an indep contractor. I do not want to sign a non-compete clause because it restricts my ability to apply for jobs and earn a living if they aren't able to promise continuing work or employment. What can I offer as a replacement for the non-compete clause to satisfy their concerns. I have no interest in starting my own company. Thank you.