We report the results of an improved determination of the triple correlation $D P cdot(p_{e}times p_{ u})$ that can be used to limit possible time-reversal invariance in the beta decay of polarized neutrons and constrain extensions to the Standard Model. Our result is $D=(-0.96pm 1.89 (stat)pm 1.01 (sys))times 10^{-4}$. The corresponding phase between g_A and g_V is $phi_{AV} = 180.013^circpm0.028^circ$ (68 % confidence level). This result represents the most sensitive measurement of D in beta decay.