We analyze the geometry on the space of non-unital phase-covariant qubit
maps. Using the corresponding Choi-Jamio{\l}kowski states, we derive the
Hilbert-Schmidt line and volume elements using the channel eigenvalues together
with the parameter that characterizes non-unitality. We find the shapes and
analytically compute the volumes of phase-covariant channels, in particular
entanglement breaking and obtainable with time-local generators.
