An apricot tree was planted in my yard in Las Vegas almost 9 years ago. The tree is on a drip system. We have plenty of apricots each year and the flavor is fine, but the flesh of the fruit is a bit fibrous and spiny. Would increased watering of the tree help to make the flesh smoother?
Is this a new development with the fruit?
Without knowing the variety of Apricot Tree that you are growing, it may be the type of fruit that the cultivator produces.
Here are some links to refresh you on the care requirements and common tree issues.