  In this paper we describe an approach to generalise minimal representations
to the super setting for Lie superalgebras obtained from Jordan superalgebras
using the TKK construction. This approach was used successfully to construct a
Fock model, a Schr\"odinger model and intertwining Segal-Bargmann transform for
the orthosymplectic Lie supergroup $\mathop{OSp}(p,q|2n)$ and the exceptional
Lie supergroup $\mathbb{D}(2,1;\alpha)$. We also describe some obstacles to use
this approach for the periplectic and queer Lie superalgebras.
