Unroll the roast; trim fat. Re-roll the roast; secure at 1-inch intervals with heavy string.
In a small bowl, combine the preserves, mustard, and thyme. Brush 1 tablespoon of the apricot mixture over the roast. Place on a broiler pan coated with cooking spray. Insert a meat thermometer into the thickest portion of the roast.
Bake for 1 hour and 45 minutes or until the meat thermometer registers 160° (slightly pink), basting once with the apricot mixture. Let stand for 15 minutes before slicing. If you are using pork tenderloins, you will only bake them for 20 to 27 minutes). You want the internal temperature to reach 145°F.
Bring the remaining apricot mixture to a boil; reduce the heat, and cook for 2 more minutes. Serve drizzled over sliced pork.