In a SMALL food processor (mine is 3 cups) blend the strawberries and 2 Tbsp of the syrup until smooth and liquid. Transfer to a small liquid measuring cup (it makes pouring easier) and divide between 8 Popsicle molds. Freeze until the top feels set, about 45 minutes to an hour.
Stick Popsicle sticks in the center of each mold and chill until completely frozen, at least 2 hours to overnight.