Page "Bilinear transform" Paragraph 13

Likewise, a continuous-time filter is minimum-phase if the zeros of its transfer function fall in the left half of the complex s-plane.

A discrete-time filter is minimum-phase if the zeros of its transfer function fall inside the unit circle in the complex z-plane.

Then the same mapping property assures that continuous-time filters that are minimum-phase are converted to discrete-time filters that preserve that property of being minimum-phase.