While the front of a fluid shock is a few mean-free-paths thick, the front of a collisionless shock can be orders of magnitude thinner. By bridging between a collisional and a collisionless formalism, we assess the transition between these two regimes. We consider non-relativistic, non-magnetized, planar shocks in electron–ion plasmas. In addition, our treatment of the collisionless regime is restricted to high-Mach-number electrostatic shocks. We find that the transition can be parameterized by the upstream plasma parameter
$\varLambda$
which measures the coupling of the upstream medium. For
$\varLambda \lesssim 1.12$
, the upstream is collisional, i.e. strongly coupled, and the strong shock front is about
$\mathcal {M}_1 \lambda _{\mathrm {mfp},1}$
thick, where
$\lambda _{\mathrm {mfp},1}$
and
$\mathcal {M}_1$
are the upstream mean free path and Mach number, respectively. A transition occurs for
$\varLambda \sim 1.12$
beyond which the front is
$\sim \mathcal {M}_1\lambda _{\mathrm {mfp},1}\ln \varLambda /\varLambda$
thick for
$\varLambda \gtrsim 1.12$
. Considering that
$\varLambda$
can reach billions in astrophysical settings, this allows an understanding of how the front of a collisionless shock can be orders of magnitude smaller than the mean free path, and how physics transitions continuously between these two extremes.