Prepare the Dough:
In a stand mixer bowl, combine flour and yeast. Mix briefly.
Melt butter in a saucepan over medium heat, then stir in sugar and salt. Add milk slowly, ensuring the mixture is lukewarm (105°F).
Whisk in the egg, then pour the wet ingredients into the dry mixture.
Knead with a dough hook for 3-4 minutes until the dough is soft and slightly tacky. Add flour if necessary.
Cover the bowl with plastic wrap and let the dough rise in a warm spot for about 2 hours, until doubled in size.
Prepare the Filling:
Mix chopped strawberries and sugar in a bowl.
Lightly grease a work surface with vegetable oil and roll the dough into an 18x12 inch rectangle.
Brush melted butter over the dough, then spread the strawberry mixture evenly.
Assemble the Rolls:
Roll the dough tightly from the long side into a log. Slice into 12 equal pieces.
Arrange the rolls in a greased 9x13 inch pan. Cover and let rise for 20 minutes.
Bake:
Preheat oven to 350°F.
Bake rolls for 35-40 minutes, until golden brown. Let them cool in the pan for 20-25 minutes.
Make the Frosting:
Beat cream cheese, butter, and vanilla until smooth. Add powdered sugar and mix until light and fluffy.
Spread frosting over the slightly warm rolls and sprinkle with extra chopped strawberries.
Make Ahead Instructions
Prepare the rolls the night before and refrigerate. In the morning, place the cold dish in a cold oven, allowing it to warm as the oven preheats to 350°F. Bake as directed.
Enjoy these deliciously sweet and tangy Strawberry Cheesecake Sweet Rolls with your loved ones!