The present study is devoted to problem of propagating surfaces of weak discontinuities of translational displacements, microrotations and temperature in type-I micropolar (MP) thermoelastic (TE) continuum. Geometrical and kinematical compatibility conditions due to Hadamard and Thomas are used to study possible wave surfaces of weak discontinuities in MPTE-I continua. Weak discontinuities are discriminated according to spatial orientations of the discontinuities polarization vectors (DPVs). It is shown that the surfaces of weak discontinuities can propagate exist without weak discontinuities of the temperature field.