We examine two special solution families of the governing equations for free surface, axisymmetric, cylindrical Liquid crystalline polymer (LCP) jet flows, in which only the uniaxial orientation pattern is accommodated. From these ideal transient solutions, we analyze the linearized stability of the coupled flow and microstructure in the LCP slender jet approximation. Our analysis reveals a window of uniaxial order parameters for both jets in which the LCP microstructure yields a negative first normal stress difference that may completely stabilize the jets provided the negative first normal stress difference dominates the isotropic surface tension and viscous stress during some period of time. It is shown that the negative first normal stress difference in the stable jets is the result of the low degree of orientation in the microstructural material. (C) 2000 Elsevier Science B.V. All rights reserved.