They've already surprised quite a few people this season by being third in the Constructors' Championship, but Williams deputy team principal Claire Williams sees no reason why they can't challenge for second.
Valtteri Bottas' second-place finish in Germany - his third consecutive podium - helped Williams to move ahead of Ferrari in the standings, and with the team in good nick Williams feels they can challenge Red Bull for second.
"There is no easy prey in Formula One, but yes, three points is an achievable amount [to overhaul] isn't it? The target was to take P3 in the Constructors' Championship," she told the official Formula 1 website.
"Red Bull is only sixty-seven points ahead of us - and they are in P2 - and with the current point system there is no reason why we can't be fighting for P2 this year!"
Formula 1 has always been about development throughout the season and the likes of Red Bull and Ferrari are known to upgrade their packages regularly to stay ahead of the chasing pack.
The Grove squad have struggled to keep up in recent years, but Williams believes they have the ability to stay in the development race this season.
"There is no reason why we can't. We have always been a team that has developed our cars over the course of the season - and we have got resources in-house," she said.
"So there is no reason why we shouldn't continue doing what we are doing now and build on the consistency that we have now. I definitely think that we can keep this momentum going. Where we are now is a far cry from where we were at the same time last year!"