Over medium heat, combine sugar & water. Stir constantly until boiling begins. Continue stirring until sugar completely dissolves.
Let mixture cool. Finely chop 2 strawberries. Option 1: to achieve strawberries mixed into your popsicle, add in strawberries & stir. Option 2: to achieve strawberries at the bottom of your popsicle, set strawberries aside.
Add champagne into sugar water & stir. Pour into popsicle mold until ¾ full. Add in popsicle stick & freeze for 4 hours. Option 2 continued: Combine strawberries with 2 tbsp water. Pour strawberry water into top of popsicle mold.