01 - Combine lukewarm milk, yeast, and 1 tablespoon of sugar in a large bowl. Let stand for 5 minutes until mixture becomes frothy and bubbly.
02 - Add remaining sugar, softened butter, eggs, and salt to the yeast mixture. Mix thoroughly to incorporate. Gradually add flour while mixing until a soft, workable dough forms.
03 - Turn dough onto a floured surface and knead for 5-7 minutes until smooth and elastic. Transfer to a greased bowl, cover with plastic wrap or a clean towel, and let rise in a warm, draft-free area for 1 hour until doubled in size.
04 - While dough rises, combine brown sugar and ground cinnamon in a small bowl. Mix well until evenly blended.
05 - Punch down risen dough and roll out on a floured surface to a 16x12-inch rectangle. Spread softened butter evenly over the entire surface.
06 - Sprinkle the cinnamon-sugar mixture over the buttered dough. Distribute finely chopped strawberries evenly across the entire surface.
07 - Starting from a long edge, roll the dough tightly into a log. Using a sharp knife or dough scraper, cut into 12 equal slices. Arrange slices cut-side up in a greased 9x13-inch baking dish.
08 - Cover the baking dish and let rolls rise for 30 minutes until puffy. Meanwhile, preheat oven to 350°F.
09 - Bake for 23-25 minutes until rolls are golden brown and cooked through. The center should spring back when lightly touched.
10 - While rolls bake, beat cream cheese and butter together until smooth and creamy. Add powdered sugar, vanilla extract, and 2 tablespoons milk. Beat until well combined and spreadable, adding additional milk if needed to reach desired consistency.
11 - Remove rolls from oven and let cool for 10 minutes. Spread the warm cream cheese glaze generously over the rolls while they are still slightly warm. Serve immediately.