How to silence webpack HMR console output

Question

I have a simple webpack setup with HotModuleReplacementPlugin() added. I run webpack via it's NodeJS API.

compiler.watch(
    { stats: 'errors-only' },
    () => { console.log('Webpack is watching files.');
});

By specifying the stats option I am able to disable all webpack build outputs. But the HMR plugin outputs are still visible on the console like so:

[HMR] Updated modules:

[HMR] - ./server/src/server.js

[HMR] Update applied.

Is there any way to disable this output as well?