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.
Virat Kohli hit 84 as India beat Australia by four wickets in the first semi-final of the Champions Trophy in Dubai on Tuesday.
Skipper Steve Smith and Alex Carey hit half-centuries as Australia made 264 all out against India in the first semi-final of the Champions Trophy in Dubai on Tuesday.
Smith, who recently captained Australia to victory over England in the ongoing Champions Trophy, has signed to play for Welsh Fire, coached by former Australia batsman Mike Hussey.
The current ODI world champions suffered huge blows ahead of the 50-over tournament when they lost fast bowlers Pat Cummins and Josh Hazlewood to ankle and hip injuries respectively and Mitchell Starc, who is out due to personal reasons.
The team suffered consecutive losses in the two-match series. In the first ODI, Australia were bowled out for 165 in a chase of 215, while in the second clash, Australia once again struggled, being snuffed out for 107 chasing a target of 282.
The Champions Trophy begins on February 19 in Pakistan and Dubai, and 50-over world champions Australia are in a group with England, South Africa and Afghanistan.
Commanding centuries from Steve Smith and Alex Carey gave Australia a dominating lead at stumps on day two of the second Test against Sri Lanka in Galle on Friday.
At one point, Sri Lanka deployed two fielders at cover in an attempt to stifle his run flow.
Steve Smith stood unbeaten on 104 after crossing 10,000 Test runs and helped Australia pummel Sri Lanka alongside fellow centurion Usman Khawaja on day one of the opening Test on Wednesday.
The story of Australia's latest entrant to the exclusive '10,000 Test runs club' is one of false starts, sustained brilliance, and unforgettable highs
