Will signing a non-solicitation agreement put me at risk of being sued when I leave my employer?

My employer has given me a "Confidentiality and Non-Solicitation Agreement" that they want me to sign. I hesitate to sign it because if I ever leave the company, although I would not try to steal their clients, they may decide on their own to seek services elsewhere. If they decide to seek services at my new place of employment I am sure that my new employer would not want me to turn away business. The section that concerns me states "During my employment and for a period of twelve months following the conclusion of employment with [company], I will not directly or indirectly solicit, encourage, entice, take away, or initiate a transfer of any participants of [company] to obtain services from a Competitor."