After making 99 last week in Perth, Head became the first South Australian to score a Test century at the ground since Greg Blewett’s ton on debut in 1994-95.

His hundred came 20 minutes before the close, going to stumps on 114no as the pair chalked up a 199-run fourth-wicket stand.

The innings strengthens the South Australian’s claims for a place on the tour to India in February and March despite previous tough stints in Asia.

Labuschagne continued his sparkling start to the summer with an unbeaten 120 – his third straight three-figure score.

The pair batted Australia into a commanding position to press for a 2-0 series victory, against a West Indies attack lacking consistency and fitness.

Such has been Labuschagne’s dominance, his 428-run tally for the series after scores of 204 and 104no in Perth, is already the third highest by an Australian in a two-Test series.

And while he offered chances during his innings at Perth, there was no such shakiness against a hapless and injury-prone Windies attack.

The tourists’ plans to bump the right-hander and set the tone for Barbados-born English quick Jofra Archer in the Ashes fell flat, with Labuschagne looking completely at ease.

With less pace in the Adelaide wicket than in Perth, West Indies went short more rarely and when they did bounce Labuschagne, he pulled the ball around the corner with ease.

The 28-year-old was also more patient, admitting he found it harder to pick up the pink ball and was less trusting on the bounce.

“Having that focus knowing there is a lot of cricket on, you want to make sure your game is in order,” Labuschagne said.

Meanwhile, injured captain Pat Cummins has declared that David Warner has the full support of the playing group after his public take down of the review process to have his leadership ban lifted.

Warner’s situation continues to cloud the Adelaide Test, after his bombshell social media post on match eve revealing he had pulled his application to have his sanction reviewed.

In the post, Warner claimed he was acting in the best interests of both the team and his family after being furious that the independent panel wished to have his hearing play out in the public domain.

The situation then escalated further on Thursday, when Warner’s manager James Erskine said players had been cleared to tamper with the ball by officials.

In an interview on SEN, Erskine said two executives had been in the changerooms after a 2016 loss to South Africa in Hobart when players were told to tamper with the ball to make it reverse swing.

A former executive who is believed to have been in the rooms at the time has contacted AAP to deny the allegation.

Cummins himself said he had not heard the Erskine comments when he did a commentary stint with Fox Sports late on Thursday night, but threw his support behind Warner.

“I chatted to Davey today and he is great,” Cummins said on Fox.

“We really support Davey. He is a huge member of our side and been fantastic for me my whole career.

“In this side he has been an awesome leader, especially the past few years.

“He has our absolute support, we really back him and respect his decision.”

The Test captain has also previously backed calls for Warner’s leadership ban to be lifted, during a nine-month process which has now been rendered fruitless.

Labuschagne also said he had not seen a change in Warner during the days leading up to the Test or on the opening day after the opener fell for 21 in the opening session.

The left-hander’s last Test century was in January 2020 against New Zealand at the SCG , having been dismissed 23 times since then.

“The thing with Davey is he’s just so consistent around the group and he’s so loved by the group,” Labuschagne said when asked if Warner’s mood had changed with the off-field drama.

“I really enjoy his company.

“I haven’t really felt too much of a shift, but obviously there has been a lot on his mind.”

Cummins suggested Warner’s form had not got to the 36-year-old.

“Davey has been great. That’s one of his biggest strengths,” Cummins said.

“You don’t know if he has scored a hundred or hasn’t scored that day. He’s the same Davey who turns up.

“He is hitting the ball beautifully in the nets and two weeks ago he hit a big hundred in the ODI format.”