US to Hong Kong to Singapore to Beijing to Paris (9 hr layover) to US

We are visiting Hong Kong and Singapore. We were originally planning to visit Beijing and Chengdu but we couldn't get visas in time. Our flight home is still from Beijing with a 9 hour layover in Paris. So our return flight is Singapore to Beijing to Paris (9 hrs) to US. Will we qualify for a transit visa? Technically, our tickets will say Beijing to Paris.