Cook strawberry filling ingredients in a saucepan over medium heat until thick and jammy, about 8 to 10 minutes. Cool completely.
Activate yeast in warm milk with a pinch of sugar for 5 minutes, then mix into flour, butter, egg, sugar, and salt to form a soft dough.
Knead for 8 minutes by hand or 5 minutes in a stand mixer, then cover and let rise 1 hour until doubled.
Roll dough into a 12x16 inch rectangle, spread cooled filling evenly, roll tightly, and cut into 12 rolls.
Arrange in a greased 9x13 pan, let rise 30 to 45 minutes, then bake at 350°F for 22 to 26 minutes until golden. Glaze while warm.