Add the sugar and heavy cream to a large liquid measuring cup. Whisk until the sugar is dissolved. Add in milk, coffee and vanilla. Stir to combine. Cover and chill for at least an hour.
Pour the ice cream base into your ice cream maker. Following the instructions for your ice cream maker, mix until thick and semi-frozen. Just before removing from the machine, add the mini chocolate chips for a few churns, until mixed in.
Transfer ice cream to a freezer safe container and cover. Freeze 4 to 6 hours or overnight.
To serve: Scoop into bowls and sprinkle with more mini chips, if desired.