Tsgona, who missed the US Open due to a knee injury suffered at Wimbledon, lost 7-5 7-6 (7-4) to his 63rd-ranked opponent.
And as the race to qualify for the tournament in London hots up, Richard Gasquet’s run to the Kremlin Cup final will see him replace Tsonga in the top eight, with Milos Raonic and Tommy Haas also in contention to reach the even.
Tsonga will find himself in ninth place behind Roger Federer and Gasquet when the latest standings are released on Monday.
Gasquet takes on Mikhail Kukushkin in the Kremlin Cup showpiece on Sunday.
1 Rafael Nadal
2 Novak Djokovic
[Andy Murray withdrawn]
3 David Ferrer
4 Juan Martín del Potro
5 Tomas Berdych, 3,800: plays Basel
6 Stanislas Wawrinka, 3,150: plays Basel
7 Roger Federer, 3,145: plays Basel
8 Jo-Wilfried Tsonga, 3,055: no play next week
9 Richard Gasquet, 3,020 (+100 if he wins Moscow title): plays Basel
10 Milos Raonic, 2,770: withdrawn from Basel
11 Tommy Haas, 2,325 (+100 if he wins Vienna title): plays Valencia
12 Nicolos Almagro, 2,110: plays Valencia
13 John Isner, 2,060: plays Valencia
14 Fabio Fognini, 1,920: plays Valencia
15 Kei Nishikori 1,795: plays Basel