  We focus on the geometrical reformulation of free higher spin supermultiplets
in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de
Wit-Freedman like hierarchy of superconnections with simple gauge
transformations. The requirement for sensible free equations of motion imposes
constraints on the gauge parameter superfields. Unlike the nonsupersymmetric
case, we find several different constraints that can decouple the higher
superconnections. By lifting these constraints nongeometrically via
compensators we recover all known descriptions of arbitrary integer and
half-integer gauge supermultiplets. In the constrained formulation we find a
new description of half-integer supermultiplets, generalizing the new-minimal
and virial formulations of linearized supergravity to higher spins. However
this description can be formulated using compensators. The various descriptions
can be labeled as geometrical or nongeometrical if the equations of motion can
be expressed purely in terms of superconnections or not.
