The team made clear before the Christmas break that they would have nothing to say before the full return to work today, Tuesday 3 January.
There is evidence, however, to suggest the decision is all but made.
According to the motorsport.com website, Finnish driver Valtteri Bottas was at the Mercedes factory at Brackley before Christmas to meet team engineers and try out the cockpit of the 2017 car.
Bottas has raced for Mercedes-powered Williams since his Formula One debut in 2013 and Mercedes team boss Toto Wolff, a former Williams shareholder, has also been involved with the 27-year-old's management team.
The Finn is the bookmakers' favourite to replace Rosberg, who quit unexpectedly last month only five days after winning his first title, but other elements may need to slide into place before a deal can be announced.
One would be for Brazilian veteran Felipe Massa to agree to abandon his announced retirement and return to Williams as Bottas's replacement.
Claire Williams, deputy principal of the team founded by her father, indicated last month that Williams would be open to Bottas leaving if "an experienced, credible alternative was available" - such as the 35-year-old Massa.
