A time-dependent quantum wave packet method is used to investigate the dynamics of the He + HeH+(X-1 Sigma(+)) reaction based on a new potential energy surface [Liang et al., J. Chem. Phys. 2012, 136, 094307]. The coupled channel (CC) and centrifugal-sudden (CS) reaction probabilities as well as the total integral cross sections are calculated. A comparison of the results with and without Coriolis coupling revealed that the number of K states N-K (K is the projection of the total angular momentum J on the body-fixed z axis) significantly influences the reaction threshold. The effective potential energy profiles of each N-K for the He + HeH+ reaction in a collinear geometry indicate that the barrier height gradually decreased with increased N-K. The calculated time evolution of CC and CS probability density distribution over the collision energy of 0.27-0.36 eV at total angular momentum J = 50 clearly suggests a lower reaction threshold of CC probabilities. The CC cross sections are larger than the CS results within the entire energy range, demonstrating that the Coriolis coupling effect can effectively promote the He + HeH+ reaction.