Returning to Shanghai on a Temporary residence permit with a 2 month validity period on my passport

Will there be a problem trying to return to Shanghai with my 9 year-old daughter who has a temporary Chinese residence permit, as her mother is a Chinese National that resides in Shanghai, but she only has 2 months left on her passport before it expires. Because her mother lives in China, and we are in America, it's a headache trying to get it renewed here, so I am hoping we can get to Shanghai for a visit and renew her passport at the local American Consulate with her mother and I present to sign the application in the presence of the officer as required by law.