Employment Law Questions? Ask an Employment Lawyer.
Yes, it should be ok as long as you can articulate that these are the people that there are to work with, period and that you did not poach these relationships. Otherwise, you run the risk of a tortuous interference suit. That being the case, since the non-compete is not effectual, you are pretty squared away here.
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Just checking to see if you have any additional questions. I want to make sure you are as comfortable as possible as you move forward. Thanks!