diff --git a/datasette/database.py b/datasette/database.py
index 3579cce9..9f3bbddc 100644
--- a/datasette/database.py
+++ b/datasette/database.py
@@ -247,10 +247,12 @@ class Database:
         return Path(self.path).stat().st_mtime_ns
 
     async def attached_databases(self):
-        results = await self.execute(
-            "select seq, name, file from pragma_database_list() where seq > 0"
-        )
-        return [AttachedDatabase(*row) for row in results.rows]
+        # This used to be:
+        #   select seq, name, file from pragma_database_list() where seq > 0
+        # But SQLite prior to 3.16.0 doesn't support pragma functions
+        results = await self.execute("PRAGMA database_list;")
+        # {'seq': 0, 'name': 'main', 'file': ''}
+        return [AttachedDatabase(*row) for row in results.rows if row["seq"] > 0]
 
     async def table_exists(self, table):
         results = await self.execute(