But Weber said more talks are planned with Williams after next week's Bahrain Grand Prix.
Whitmarsh said they would be making some minor changes to the car for the Bahrain Grand Prix.
Amnesty's condemnation comes as the Gulf nation prepares to host the Gulf Air Bahrain Grand Prix this weekend.
"If you race people hard then you run out of tires, " said Red Bull's Mark Webber after last month's Bahrain Grand Prix.
The Bahrain Grand Prix continued as scheduled, but protesters used the international spotlight on the race to call for the release of al-Khawaja.
CNN: Bahrain court orders new trial of activist on hunger strike
Mercedes driver Schumacher called on Pirelli to rethink its approach after several drivers struggled with tire degradation during last month's Bahrain Grand Prix.
One issue which dominated the buildup to last season was the cancellation of the Bahrain Grand Prix due to civil unrest in the Gulf kingdom.
The Bahrain Grand Prix is set to take place on April 22, having been called off this year due to civil unrest in the gulf kingdom.
Rosberg, who failed to repeat his performance in last week's Bahrain Grand Prix, finishing fifth, will be joined on the track by fellow Mercedes driver Michael Schumacher.
Ferrari have taken just 10 points from the first two races and are considering whether to use the new car at the Bahrain Grand Prix on 3 April.
After the opening race in Melbourne, the elite division of motorsport heads to Malaysia and China before the Bahrain Grand Prix -- scheduled to take place on April 22.
The 2011 Bahrain Grand Prix was canceled after drivers, including former Formula One star Damon Hill, raised concerns after the death of at least 35 demonstrators in a clampdown on unrest.
Button also won in Malaysia and was third in China to top of the drivers' standings ahead of Sunday's Bahrain Grand Prix, ensuring the Brackley-based team have suddenly become a hot ticket.
The Briton had been advised not to travel to this weekend's Bahrain Grand Prix, with Formula One boss Bernie Ecclestone saying the Bahraini royal family "would not like" his attendance in the Kingdom.
That extra attention to detail has already begun at the Ferrari factory as the team's engineers solved the problem with Alonso's faulty drag reduction system (DRS) -- an overtaking aid which increases the car's straight-line speed by flipping open the top flap of the rear wing -- the day after the Bahrain Grand Prix.
Red Bull did not test the constructors' championship-winning RB6 in the first winter testing session of 2010 and suffered early-season problems when Sebastian Vettel lost the lead at the Bahrain Grand Prix because of a spark plug problem, finishing fourth as a result, before retiring in the following race in Australia with a wheel problem.
F1 teams and organizers arrived at the desert circuit last week amid worry over political unrest in Bahrain. (Due to uprisings, Bahrain's Grand Prix was canceled in 2011.) Outside the track, antigovernment activists clashed with authorities.
WSJ: Heard on the Field: History Is the Only Competition for Vettel
But it will not sponsor the Australian, Monaco, Bahrain or Abu Dhabi Grand Prix.
It means McLaren have three chances to test its reliability before the opening grand prix in Bahrain on 13 March.
It was an uncharacteristically slow start to year from Red Bull, with Vettel winning the year's fourth grand prix in Bahrain but then not picking up a second success until September's race in Singapore.
CNN: Triple F1 champion Vettel: Red Bull better than last year
Stone from the quarry has also been used in Grand Prix circuits at Bahrain and Abu Dhabi.
Qatar is hosting the 2022 football World Cup and bids for almost every major sporting event, and both Bahrain and Abu Dhabi have staged Formula 1 Grand Prix races.
The Bahrain government said later Tuesday that visitors for the grand prix would find "safe and stable" conditions.
The race, which will take place on a new harbourside street circuit, will become the second Grand Prix in the Middle East after Bahrain.
Activists and protesters have called for the Grand Prix to be called off because of Bahrain's human rights record.
Grand Prix organizers were urged to cancel the F1 race in Bahrain last month because of concerns about human rights.
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