Roughly chop the lightly salted pistachios.
In a medium saucepan, toast the chopped pistachios over medium heat for 5 minutes, stirring frequently to prevent burning.
Add sugar and water to the pan. Stir occasionally and bring the mixture to a gentle simmer. Let it simmer for 8 minutes.
Add almond extract and continue simmering for 2 more minutes.
Remove from heat and allow the syrup to cool to room temperature.
Strain the mixture using a fine mesh strainer to remove pistachio solids.
Transfer the smooth syrup to a clean, airtight container.
Store in the refrigerator for up to three weeks.