Fill the Bundt pan with about 1/3 of batter. Spoon 1/3 of filling evenly over batter. Add another 1/3 of batter, then top with 1/3 of filling. Repeat with remaining batter and filling.
Bake at 350 degrees for 45 minutes to an hour, or until a cake tester inserted in center comes out clean. Cool in pan 10 minutes before removing. Let cake cool until slightly warm to the touch before drizzling with glaze.