  In this work, we analyse the evolution of time-dependent traversable wormhole
geometries in a Friedmann-Lema\^{i}tre-Robertson-Walker background in the
context of the scalar-tensor representation of hybrid metric-Palatini gravity.
We deduce the energy-momentum profile of the matter threading the wormhole
spacetime in terms of the background quantities, the scalar field, the scale
factor and the shape function, and find specific wormhole solutions by
considering a barotropic equation of state for the background matter. We find
that particular cases satisfy the null and weak energy conditions for all
times. In addition to the barotropic equation of state, we also explore a
specific evolving wormhole spacetime, by imposing a traceless energy-momentum
tensor for the matter threading the wormhole and find that this geometry also
satisfies the null and weak energy conditions at all times.
