The 33-year-old Tsonga was out for seven months last year following a left-knee injury.
Having dumped out French seeds Gilles Simon and Jeremy Chardy on his way to a first Tour final since the Vienna Open in October 2017, Tsonga faced a more modest opponent in Albot on Saturday.More news: China posts video claiming Uighur poet reported dead in detention is alive
The momentum was on Jo's side now and he kicked off the second set with a return victor that gave him a huge lead, extending the gap with another break in game five that propelled him closer to the finish line.
Herbert required 93 minutes to wrap up his 6-2, 7-5 victory over Czech Tomas Berdych, who struggled with five double faults.
Russia's Daniil Medvedev reached the final of the Sofia Open in Bulgaria with a 6-2 6-4 win over Gael Monfils.More news: Samsung foldable smartphone teased for next week
But the Russian enjoyed a change of fortunes this time around as he picked up his fourth career title in straight sets.
Herbert has now lost his three singles finals on the ATP Tour.
With no previous ATP wins before this tournament, the 25-year-old came from a set down to defeat Guido Pella 3-6, 7-5, 6-1. Medvedev will play Marton Fucsovics in the final on Sunday after the Hungarian defeated Italy's Matteo Berrettini 5-7 7-5 6-3.More news: BBC cameraman 'violently pushed and shoved' during Trump rally