  We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$-Drinfeld modules,
which is a natural analog of Legendre elliptic curves. We then find a
surprising recurrence giving the corresponding Deuring polynomial
$H_{p(T)}(\lambda)$ characterising supersingular Legendre Drinfeld modules
$\psi^{\lambda}$ in characteristic $p(T)$.
