In this paper, we developed a temperature-dependent thermal-optical model of a semiconductor optical amplifier (SOA) integrated in sampled grating distributed Bragg reflector (SG-DBR) laser module by extending our pervious works. By numerically solving the thermo-optical coupling equations, static and transient temperature distributions of the integrated module were simulated based on finite element method (FEM). Furthermore, thermal effects on optical output properties of the module were obtained by using a temperature-dependent dynamic transfer matrix method (DTMM) based optical model. Phenomenon of thermal crosstalk was clearly observed. Induced by the thermal transients in the SOA, the wavelength drift is as large as 39 pm and the power decrease is over 5 %. Our results could be helpful to the design optimization and the thermal management of relevant integrated devices.