The terahertz (THz) spectrum holds immense potential for advanced wireless communication systems due to abundant available bandwidth and high data rates. However, a major challenge in deploying THz systems is susceptibility to blockage, which can greatly impair signal propagation and negatively affect the reliability of the communication link. This paper focuses on applying self-accelerated beams for blockage mitigation at THz frequencies. These beams can follow curved trajectories as they propagate in free space. Trajectories can be engineered to overcome physical obstacles present in the beam path. As we show through extensive simulations, self-accelerated beams perform better than conventional Gaussian beams in terms of received power when obstacles are present. This approach offers new possibilities for reliable THz communications in practical deployment scenarios.