The Williams team will wear black armbands during Sunday's season-opening Australian Grand Prix in memory of Ginny Williams.
The wife of founder and team principal Sir Frank Williams passed away six days ago at the age of 66 after battling cancer for the last two and a half years.
Neither Sir Frank nor daughter Claire, who is the team's director of marketing and communications, have flown to Australia for the race.
A book of condolence has been set up inside the Williams facility in the paddock at Melbourne's Albert Park, while armbands will be worn on race day at least.
Technical director Mike Coughlan, who has assumed temporary charge of the team this weekend, told Press Association Sport: "Ginny was a great person.
"She always said she was Williams' number one fan for two reasons: one, she was the first fan, and secondly, she cared more than anyone.
"So there's great sadness within the team. We obviously have to move on, but I hope we do well this weekend in Ginny's memory."
Regarding the plans to honour her, Coughlan added: "We will wear black armbands, probably for race day only.
"When you go to a game of football the match is the only time a black armband is shown.
"We want to be sure of the correct etiquette. Our belief is race day is for the true show of affection and condolence.
"So we will check with Frank and Claire and we'll decide, but the current plan is Sunday only."
Despite the increased responsibility this weekend, especially given the extra demands as it is the curtain raiser, Coughlan said: "I'm a great supporter of the family, and Frank knows that.
"I said I would take over from Claire this weekend until she is able to come back, so I see this as a very temporary measure to support her, Frank and the whole family."
Although the funeral is next Thursday, plans have not been formalised as to whom will take charge for next weekend's Malaysian Grand Prix.
