Speedmaster Reduced 3539.50 (1471/815) bracelet on a 3510.50? Will it fit?

I have a 3510.50 and hate the bracelet. It painfully pulls hairs all the time. I would like to fit the 3539.50 speedmaster reduced bracelet because it has a different link design, and better clasp. Does anyone know if it will fit?

3510.50 bracelet 1469/811

3529.50 bracelet 1471/815