Preheat the oven to 300 degrees.
In a small saucepan, bring the water and apricots to a boil over medium heat. Once they begin to boil, lower the heat and use a fork to lightly mash and stir the apricots frequently.
As they separate in the saucepan, the consistency will be like that of a thick soup and they will separate from their skins. Remove the skins.
Dip the breasts individually into the apricot mixture and then lay flat into a glass baking dish. Pour remaining apricot mixture over the top and cover firmly with alumnium foil.
Cook for thirty minutes.