  We calculate the contributions of the neutral top-pion $\pi_{t}^0$ to the
process $e^-\gamma\to e^-\bar{t}c$ in the framework of topcolor-assisted
technicolor(TC2) models and discuss the possible of detecting $\pi_t^0$ at the
high energy linear $e^+e^-$ collider(LC). Our results show that $\pi_t^0$ can
give significant contributions to this process. With reasonable values of the
parameters in TC2 models, the cross section $\sigma$ can reach 0.19 fb which
may be detected at the $e\gamma$ collisions based on the future LC experiments.
