  The level $N$ elliptic KZB connection is a flat connection over the universal
elliptic curve in level $N$ with its $N$-torsion sections removed. Its fiber
over the point $(E,x)$ is the unipotent completion of $\pi_1(E - E[N],x)$. It
was constructed by Calaque and Gonzalez. In this paper, we show that the
connection underlies an admissible variation of mixed Hodge structure and that
it degenerates to the cyclotomic KZ connection over the singular fibers of the
compactified universal elliptic curve. These are the first steps in a larger
project to compute the action of the Galois group of mixed Tate motives
unramified over $\mathbb{Z}[\mathbf{\mu}_N,1/N]$ on the unipotent fundamental
group of $\mathbb{P}^1 - \{0,\mathbf{\mu}_N,\infty\}$ and to better understand
Goncharov's higher cyclotomy.
