In a large pot of boiling salted water, cook lasagna noodles until al dente, about 10 minutes. Drain and spread noodles on the counter.
In a medium-sized bowl, stir spinach dip with the Cheddar, nutmeg and black pepper. Mix well until cheese is soft. Taste and add more seasoning if needed.
Spread 1/4 cup cream cheese mixture over each lasagna noodle. Roll up jellyroll style, then set seam-side down in a greased baking dish. Cover tightly and bake until hot, from 20 to 25 minutes.
Just before serving, stir tomato sauce with basil, thyme and sugar in a small saucepan. Gently heat, stirring often, over medium heat until mixture bubbles. Remove from heat and pour over lasagna rolls.
To serve, spoon about 2 Tablespoons of sauce on each of the 4 warmed dinner plates. Arrange 2 lasagna rolls on each plate. Drizzle with reamaining sauce. Serve immediately.