In a medium pot, bring salted water to a boil and add in the potatoes. Boil the baby potatoes for 7 to 8 minutes or until fork-tender.
Drain the water, then add in the butter to the same pot on medium heat. Sauté for 3 minutes, mixing to coat the potatoes in butter. Add the garlic and cook for an additional minute, making sure to continue mixing everything so the garlic doesn’t burn. Remove from heat and toss in the dill.