The Brazilian failed to score a single point last season and carried on that trend in the opening races of this year's Championship, even being disqualified from a points-paying position in Australia.
However, the longest-serving driver on the grid fought back at the Monaco GP, finishing in sixth place, earning his first three points of the campaign.
He followed that up with another top-eight result two weeks later in Canada, where he clinched seventh place to move ahead of his team-mate Jenson Button in the Drivers' standings.
Now after a strong test in Barcelona, which saw Barrichello in action on Friday and Saturday, the Brazilian is confident he can continue his good run of form at Magny-Cours this coming weekend.
"We had a good two days in Barcelona this week and were able to cover a lot of mileage. Without any major new test items, we focused on set-up work and I'm happy with the progress that we made," said Barrichello.
"We were able to improve the car mechanically which gives me a good feeling going into the French Grand Prix next weekend."