TLC5949: Multiple Daisy-Chained TLC5949

I would like to use multiple TLC5949 drivers in a daisy-chained configuration. The datasheet shows a Typical Application Circuit on the front page. This is the one that I build. However, I noticed that the SOUT data of the first device changes on the rising edge of the SCLK and is stable on the falling edge. The second device reads this data on the rising edge of SCLK, but also at that moment the SOUT signal is unstable. So this configuration does not work because the data that is going into the SIN of the second device is unreliable. Am I making a mistake here or is the Typical Application Circuit in the datasheet not correct? Or how can I solve this?