  Volume complexity in dS$_2$ remains $O(1)$ up to a critical time, after which
it suddenly diverges. On the other hand, for the dS$_2$ solution in JT gravity
there is a linear dilaton which smoothly grows towards the future infinity.
From the dimensional reduction viewpoint, the growth of the dilaton is due to
the expansion of the orthogonal sphere in higher-dimensional dS$_d$ ($d \ge
3$). Since in higher dimensions complexity becomes very large even before the
critical time, by properly taking into account the dilaton, the same behavior
is expected for complexity in dS$_2$ JT gravity. We show that this expectation
is met by complexity = action (CA) conjecture. For this purpose, we obtain an
appropriate action for dS$_2$ in JT gravity, by dimensional reduction from
dS$_3$. In addition, we discuss complexity = "refined volume" where we choose
an appropriate Weyl field-redefinition such that refined volume avoids the
discontinuous jump in time evolution.
