Add the softened butter to a bowl and beat on high one minute.
Add 2 cups of the sugar to the bowl one cup at a time beating it on medium-high until creamy.
Scrape the bowl and beat for 2 minutes.
Add the coffee concentrate to the bowl and beat for 2 minutes on high.
Add the remaining ¼ cup of powdered sugar to the bowl and beat until fluffy. If the frosting looks like it is too thin or separating add 1 tablespoon of powdered sugar until the desired consistency. The frosting should be very thick and creamy.