  Non-Markovian features of a system evolution, stemming from memory effects,
may be utilized to transfer, storage, and revive basic quantum properties of
the system states. It is well known that an atom qubit undergoes non-Markovian
dynamics in high quality cavities. We here consider the qubit-cavity
interaction in the case when the qubit is in motion inside a leaky cavity. We
show that, owing to the inhibition of the decay rate, the coherence of the
traveling qubit remains closer to its initial value as time goes by compared to
that of a qubit at rest. We also demonstrate that quantum coherence is
preserved more efficiently for larger qubit velocities. This is true
independently of the evolution being Markovian or non-Markovian, albeit the
latter condition is more effective at a given value of velocity. We however
find that the degree of non-Markovianity is eventually weakened as the qubit
velocity increases, despite a better coherence maintenance.
