Ahead of the Turkish Grand Prix last time out, Russell had matched the points tally of Red Bull driver Sergio Perez over a six-race period.
Asked if he could have ever dreamt of such a statistic, Russell conceded: "I would say definitely not after the first test or race, to be honest.
"Obviously, prior to the season, you are always hoping and always think it will be an improvement on the previous one but certainly, after the Bahrain test and the Bahrain race, there was no way I would have thought those stats would be possible.
"I think a lot to thank the team for making a lot of good decisions at the right moments.
"I think we have done an amazing job, being in the right place and the right time to capitalise on these moments.
"We have improved the car as well along the way, we have understood it more and tried some things and things have turned out better than perhaps we would have expected.
"I think we have found a bit of performance there. It was maybe a bit of a shame that we didn't score some more points given the circumstances at the end of the race.
"We had a really difficult final stint but it has definitely been a good five races or so."
GPFans is a multi-platform, multi-language brand dedicated to Formula One coverage. We bring you all the ins and outs of the sport, 24/7, everything from up-to-the-minute news and features to the latest viral stories and clips.
We believe that a new generation of exciting, outspoken drivers will make F1 more popular than ever before, and we want to give our users access to as much of their heroes as possible, on and off the track. From Lewis Hamilton to Max Verstappen, Daniel Ricciardo to Sebastian Vettel, we provide in-depth analysis of every every Grand Prix in the season, from Australia to Abu Dhabi.
With Formula One under the new ownership of Liberty Media, how the sport is being covered is evolving, and GPFans will look to be at the heart of this progression into new media, as one of the fastest-growing sites covering the king of motorsports.