Solid-State Batteries (SSBs) utilizing a lithium (Li) metal anode are promising candidates for next-generation energy storage systems, offering higher energy and power densities compared to conventional Li-ion batteries. However, preserving the interface stability in SSBs is a major challenge due to non-uniform electrodeposition and imperfect solid-solid contact between the metal anode and solid electrolyte. A commonly used approach to mitigate this is the application of stack pressure. The resulting internal stresses affect both transport in the solid electrolyte and reaction kinetics at the anode-SE interface. Thus, the anode/SE interfacial stability in SSBs involves an intricate kinetics-transport-mechanics interplay. In this work, we study the coupled effect of external pressure and temperature on stress-driven transport and reaction kinetics, and its implications on the stability of the Li-metal/SE interface during plating and stripping.