Webster emerged as Australia's saviour after they slumped to 93-4 after electing to bat first.
Smith hurt his finger while fielding in the slips during the World Test Championship final at Lord's three weeks ago and was taken to hospital.
Travis Head said Monday Australia were experienced enough to cope as they prepare for their first Test without Steve Smith or Marnus Labuschagne since 2018.
Steve Smith will miss Australia’s first test against the West Indies in Barbados later this month and could sit out the entire three-test series with a finger injury, captain Pat Cummins said.
Australia's Steve Smith was taken to hospital with a dislocated finger after dropping a catch in the World Test Championship final against South Africa at Lord's on Friday.
Australia batting great Steve Smith is expecting a tough examination from South Africa's impressive pace attack in this week's World Test Championship final at Lord's.
"I hadn't hit a ball since I missed a full toss off Mohammed Shami in the Champions Trophy. "I've hit so many balls over my career, what do they say, it's like riding a bike, I suppose, in a way."
Yesterday, another modern-day Australian great called time on his ODI career a day after he top-scored for his side but could not deliver what was expected off of him.
Steve Smith announced his retirement from one-day international cricket on Wednesday after captaining Australia to a semi-final exit at the ICC Champions Trophy, bringing down the curtain on a career in the format that included two World Cup wins.
Pakistan captain Misbah-ul-Haq hailed Asad Shafiq's defiant century as among the "classiest" he had ever seen after the knock of 137 all but drove Pakistan to a famous victory over Australia in the first Test in Brisbane on Monday.
Australia prevented a world-record, 490-run chase by Pakistan on Friday to win a gripping first Test by just 39 runs and preserve their 28-year unbeaten streak at Brisbane's Gabba ground.
The Pakistan team, six years in the making and armed with insider knowledge from coach Mickey Arthur, are poised to make history in Australia, veteran skipper Misbah-ul-Haq said Wednesday.
Australia will not be taking their collective foot off the gas in Friday's third one-day international against New Zealand in Melbourne, despite it being a dead rubber, according to all-rounder Mitchell Marsh.
Controversial all-rounder Glenn Maxwell could still find himself on the outer in Australia's second one-day international against New Zealand on Tuesday.
The decision not to review a leg before wicket appeal on Australia's captain Steve Smith was the right one at the time as there was significant doubt from even people off the field, New Zealand coach Mike Hesson has said.
Steve Smith hits a record-breaking century and took two superb catches as Australia beat New Zealand by 68 runs in the Chappell-Hadlee Trophy one-day series opener
Captain Steve Smith is hoping his triumphant new Gen-Y line-up can build "something really special" for Australian cricket over the next 10 years.
Skipper Steve Smith said his newly energised Australia side can only get better after a spirited win over South Africa in the day-night third and final Test in Adelaide on Sunday.
Usman Khawaja and captain Steve Smith led the charge for Australia after the loss of two early wickets on the second day of the day-night third Test against South Africa on Friday.