The ``long'' indecomposable $\mathcal{N}=2$, $d=1$ multiplet $(\mathbf{2},\mathbf{4},\mathbf{2})$ defined in B. Assel et al. [J. High Energy Phys. 07 (2015) 043] as a deformation of the pair of chiral multiplets $(\mathbf{2},\mathbf{2},\mathbf{0})$ and $(\mathbf{0},\mathbf{2},\mathbf{2})$ by a number of the mass-dimension parameters is described in the superfield approach. We present its most general superfield and component actions as well as a generalization to the case with the superfields of the opposite Grassmann parities and dimensionless deformation parameter. We show that the long $\mathcal{N}=2$, $d=1$ multiplets are naturally embedded into the chiral $SU(2|1)$, $d=1$ superfields having nonzero external spins with respect to $SU(2)\ensuremath{\subset}SU(2|1)$. A superfield with spin $s$ contains $2s$ long multiplets and two short multiplets $(\mathbf{2},\mathbf{2},\mathbf{0})$ and $(\mathbf{0},\mathbf{2},\mathbf{2})$. Two possible $\mathcal{N}=4$, $d=1$ generalizations of the $\mathcal{N}=2$ long multiplet in the superfield approach are also proposed.