Docker dynamic config with LetsEncrypt Wildcard Certificates

I have a number of docker containers with configuration (e.g., routing by hostname) specified in docker labels.

I'd like to use a single LetsEncrypt wildcard cert across all of the docker containers, but the labels for specifying TLS don't appear to let me do this.

Is there a correct way to achieve what I want to do with a combination of the Docker and file config methods?