Put 1 heaping tablespoon of medium-fine ground coffee into the coffee filter and push it down lightly. Now, this is not really the same as tamping the coffee but it does help to create a bit more pressure during the brewing process.
Add 2 fl oz of warm water into the water reservoir.
At this point, you can start the brewing process. Everything you need to do is press "brew". If your drip machine offers the "Concentrate Brew" setting, opt for it instead.
Enjoy your espresso!