A remote seal assembly for a process transmitter includes a seal body containing a cavity sealed by a diaphragm. The seal body configured to be mounted to a process element containing a process fluid such that a first side of the diaphragm is exposed to the process fluid. A capillary contains a fill fluid that is in fluid communication with the cavity and a second side of the diaphragm. A coupling has a capillary recess and two cavities separated by a second diaphragm. The capillary extends through the capillary recess and connects to the coupling such that the fill fluid in the capillary is in fluid communication with one of the two cavities and the second diaphragm. A thermally conductive element preferably extends continuously along the capillary from the seal body toward the coupling and into the capillary recess without contacting the coupling.