That is after the 30-year-olds two year ban on leading his national team came to an end on Sunday, March 29th.
The ban was imposed after the infamous third test between South Africa and Australia, at the Newlands ground in Cape Town in March 2018. It was during that match the Australian opening batsman, Cameron Bancroft, was caught on camera attempting to alter the shape of the ball with a piece of sandpaper which he had concealed in his pocket.
Afterwards, it was admitted in a press conference that the Australian leadership group, namely Smith, and his vice-captain, David Warner both knew about the plan, and that Warner had, in fact, instigated it. In the aftermath, with headlines trumpeting Australias shame around the world, Bancroft was handed a nine month ban from international and domestic cricket.
Warner was given a one year ban from all forms of international and domestic cricket, and banned permanently from taking any leadership position with the Australian team.
Smith was given a similar ban, except, in his case, the leadership ban was put in place for two years, a suspension that is now over.
In his absence, wicket-keeper Tim Paine stepped up to the mark and assumed the captaincy, and is generally credited with having done a good job in difficult circumstances. However, unlike Smith, he is not captain in all three formats of the game he is skipper of the test team, whilst Aaron Finch leads the ODI and T20 sides.
Despite Paines efforts and willingness to continue in the role, there have been some calls in Australia for Smith to resume the captaincy, in part fuelled because the statistics of Paine as an individual in his own right do not warrant his inclusion in the side in his own right.
However, it is not clear if Smith wants the job back, and would prefer to concentrate on his batting instead.
For the time being though, it is something of a moot point, with all cricket around the world currently halted because of the coronavirus outbreak. Australia has a test series in Bangladesh scheduled for June but, given the current global pandemic, the likelihood of that proceeding seems slim at present.