The kinetics of the later stages of the temperature induced collapse transition of swollen poly(N-isopropylacrylamide) (PNIPAM) chains at interfaces in the presence of the surfactant sodium dodecyl sulfate were studied using dynamic light scattering (DLS). The longer time collapse processes were interpreted in terms of the "globule growth" model of Kuznetsov, Timoshenko, and Dawson (KTD) [J. Chem. Phys. 103, 4807 (1945)]. The relaxation times of the collapse transition were determined from the longer time kinetics and were found to decrease with increasing quench temperature above the theta temperature.