Hamilton won the Bahrain Grand Prix last weekend and was ruled out of Sunday's Sakhir Grand Prix after waking up on Monday with mild symptoms.
Wolff, who hours earlier had joined Hamilton in the team's celebrations of claiming a record seventh consecutive constructors championship, suggested that his comments were made while he was emotional and tired in the heat of the moment.
Wolff has guided Mercedes to six consecutive constructors' titles, but the Austrian has hinted that he is ready to move on.
Lewis Hamilton is on course to match Michael Schumacher's record haul of seven world championships this season.
Bottas, who was runner-up to Hamilton last year, joined Mercedes in 2017 and has so far notched eight wins and 12 pole positions with the team.
Formula 1 2020: Lewis Hamilton romps to victory at British Grand Prix, closes in on Michael Schumacher's F1 record
Lewis Hamilton held on to win the British Grand Prix on Sunday despite a puncture on the last lap to clinch an 87th career win and move within four of Michael Schumacher's Formula One record.
Hamilton heads into the British Grand Prix on Sunday as the favourite to win at his home circuit of Silverstone for a seventh time but for the first time without any fans there to cheer him on
Bottas set a time of one minute 15.437 seconds on a cloudy morning at the Hungaroring after Friday’s rain, 0.42 quicker than six-times champion Hamilton and the fastest lap of the weekend.
Formula 1: Lewis Hamilton says subtle criticism on racism not aimed at rivals, insists he was addressing motorsport industry
Hamilton, who starts his bid for a record equalling seventh title in the season-opening Austrian Grand Prix on Sunday, has been vocal in support of the Black Lives Matter movement and racial equality.
There will be no fans in Austria, no sponsors, no hospitality units or VIPs and no socialising between teams within a paddock ‘bubble’ where safe spacing and face masks are the ‘new normal’ and everything will take a little longer.
Wolff expressed concern at how the strategy might evolve, and the risk of a team securing pole for the second race thanks to an early retirement in the first.
Mercedes team principal Toto Wolff said on Wednesday he was weighing up his future role but felt he still had a lot to contribute to the Formula One world champions.
Mercedes team boss Toto Wolff has given six-times Formula One champion Lewis Hamilton his full backing for the passionate condemnation of racial injustice after the death of George Floyd.
The experiment was mooted already last year, before COVID-19 played havoc with the calendar, with Formula One keen on having three reverse grid races in 2020.
Formula 1 2020: Prospect of British Grand Prix without a crowd leaves Lewis Hamilton with an 'empty feeling'
None of the drivers have raced since December, with the season stalled due to the COVID-19 pandemic, but there are plans to start up behind closed doors in Austria and then Silverstone in July.
Mercedes Formula One boss Toto Wolff takes an investment stake in British sportscar maker Aston Martin
A Mercedes F1 spokesman said Toto Wolff’s move was purely an investment on the Austrian’s part and would be diluted by a rights issue on Monday from 4.77% to less than 1%
Seven of the 10 Formula One teams have joined forces with leading aerospace and engineering companies to ramp up production of ventilators while Mercedes has also worked with medics and academics to produce an alternative breathing aid.
Formula 1 2020: Ferrari's Sebastian Vettel clocks fastest lap on penultimate day of pre-season testing
Ferrari driver Sebastian Vettel clocked the fastest lap on the penultimate day of Formula One preseason testing on Thursday, while Lewis Hamilton’s session was cut short by mechanical trouble.
F1 governing body has moved to ban for 2021 a new Mercedes steering wheel that has been the talk of pre-season testing and could boost Lewis Hamilton’s chances of seventh title
Mercedes sent a statement of intent about their future with the announcement of a five-year principal sponsorship deal with British billionaire Jim Ratcliffe’s petrochemicals giant Ineos