The French team looked to have made a serious step forward at the Canadian Grand Prix a week ago, with both Hulkenberg and teammate Daniel Ricciardo scoring points and showing decent pace from the power unit.
Ahead of the team's home race, Hulkenberg says the team will only continue to improve
"If you have a good package and you do a good job, that usually leads to good results," Hulkenberg is quoted by GPToday.
"We are currently getting the most out of the package we have. We started the season dramatically, but the last race was of course very positive and we would like to continue that in our home race.
"The top three teams are still out of reach, even though we defeated at least one Red Bull on speed last week.
"We are getting some upgrades for Paul Ricard and I'm really looking forward to that. We hope that these upgrades will make us even faster and that might help us close the gap to the top three.
"I am very optimistic and I think it is realistic to think that we can close the gap, because our package is consistent and worked everywhere we drove."