Tsonga and Llodra made easy work of Feliciano Lopez and Fernando Verdasco, converting a break point on their first chance and never looked back to secure a 6-1, 6-2, 6-0 victory at Cordoba's bullring.
While Spain was on the receiving end of a drubbing Saturday, the four-time champion can still clinch its place in the final on Sunday when Rafael Nadal is scheduled to face Gilles Simon in reverse singles on the outdoor clay.
France captain Guy Forget may opt to play Tsonga against Nadal because teams can make a change up to one hour before matches. Tsonga is the only French player with repeated wins over Nadal (2-5), although the pair have never met on clay.
"If he picks me that would be the fantastic," Tsonga said. "I am motivated to go and play if I get picked. If I play I am sure I will certainly play against Rafa in this incredible environment and on the clay — I would really like that."
Nadal hasn't lost a singles Davis Cup match since losing in his debut in 2004, racking up a 17-1 record that includes 13-0 on clay. The six-time French Open champion has lost only five of his last 100 matches on clay.
"Nadal is feeling better, he's training better and I think he'll be in top shape tomorrow," Spain captain Albert Costa said. "(Tsonga) is one of the best players in the world, very dangerous. But I think Rafa will be even better tomorrow than Friday."
The second-ranked Nadal beat Richard Gasquet 6-3, 6-0, 6-1 in Friday's singles.
While France was routed in singles on Friday, a refreshed Tsonga provided the perfect complement with French doubles specialist Llodra.
Both Lopez and Verdasco struggled with their serve throughout and the French shrugged off the 100-degree temperatures for seven break points to none for Spain.
The Spaniards hit 19 winners to the visitors' 41, and the 10th-ranked Tsonga closed out the rout with the pair's ninth ace of the day.
"There was a lot of pride on the line after yesterday," Tsonga said. "(But) it was definitely much easier than we expected. We expected to endure a much tougher match."
In the other reverse singles match on Sunday, David Ferrer is scheduled to play Gasquet.