Swepson made his List A debut for Cricket Australia XI on 5 October 2015 in the 2015–16 Matador BBQs One-Day Cup.

[4] In November 2019, during the 2019–20 Sheffield Shield season match against Victoria, Swepson took a hat-trick in the first innings.

[11] In January 2021, Swepson was named in Australia's Test squad for their series against South Africa.

[12] In June 2021, Swepson was named in Australia's limited overs squad for their tours of the West Indies and Bangladesh.

[18] During the same tour, Swepson was also added to Australia's One Day International (ODI) squad, replacing Steve Smith.