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1
Dissolve yeast in 2 tablespoons warm water in a large bowl; let stand 5 minutes or until bubbly.
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2
Heat 1 tablespoon oil in a small saucepan over medium heat. Add thyme to pan; cook 1 minute or until bubbly and fragrant. Add thyme mixture and milk to yeast mixture, stirring with a whisk; add 1/4 cup cheese, sugar, salt, and egg, stirring well.
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3
Weigh or lightly spoon whole-wheat white flour into a dry measuring cup; level with a knife. Using a wooden spoon, stir whole-wheat white flour into yeast mixture. Weigh or lightly spoon 5 ounces (about 1 cup) all-purpose flour into a dry measuring cup; level with a knife. Add all-purpose flour to yeast mixture, stirring well. Add enough of remaining all-purpose flour, 1 tablespoon at a time, to form a smooth but very sticky dough. Place dough in a large bowl coated with cooking spray, turning to coat top. Cover and refrigerate overnight. (Dough will not double in size.)
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4
Remove dough from refrigerator. Do not punch dough down. Turn dough out onto a floured surface; sprinkle dough lightly with flour. Roll dough into a 12 x 7-inch rectangle. Brush dough with remaining 1 tablespoon oil. Sprinkle remaining 1/4 cup cheese evenly over dough; sprinkle with pepper. Beginning with a long side, roll up dough jelly-roll fashion. Pinch seam to seal (do not seal ends of roll). Cut roll into 8 (1 1/2-inch) slices. Place slices, cut sides up, on a baking sheet covered with parchment paper. Cover and let rise in a warm place (85u00b0), free from drafts, 1 hour or until rolls have risen slightly.
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5
Preheat oven to 400u00b0.
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6
Place pan in oven, and immediately reduce heat to 375u00b0. Bake rolls at 375u00b0 for 12 minutes or until golden brown. Serve warm.