  The Hopf surfaces provide a family of minimal non-K\"ahler surfaces of class
VII on which little is known about the Chern-Ricci flow. We use a construction
of Gauduchon-Ornea for locally conformally K\"ahler metrics on primary Hopf
surfaces of class 1 to study solutions of the Chern-Ricci flow. These solutions
reach a volume collapsing singularity in finite time, and we show that the
metric tensor satisfies a uniform upper bound, supporting the conjecture that
the Gromov-Hausdorff limit is isometric to a round $S^1$. Uniform $C^{1+\beta}$
estimates are also established for the potential. Previous results had only
been known for the simplest examples of Hopf surfaces.
