A tire and wheel rim assembly includes a tire supporting rim having an outward facing mounting surface and at least one tire body mounted to the rim and positioning an internal tire cavity over the rim mounting surface. A tire pressure monitoring module assembly mounts to the rim mounting surface and includes a housing having an internal pressure chamber; a pressure sensing device and/or a temperature measuring sensor within the housing pressure chamber; and an elongate connecting member extending through the housing and the rim mounting surface. A crossover pipe connects the housing pressure chamber with a remote portion of the rim. The inflation pressure in the tire cavity is transferred through the axial passageway of the crossover pipe to the pressure chamber within the module housing.