ACT and Northern Territory voters will find out on Tuesday who will represent them in the Senate for the next three years.

The Australian Electoral Commission said the capture and verification of preferences for the territories’ Senate races had concluded and preferences would be distributed on Tuesday morning. 

The four successful candidates will then be announced.

It is expected the ACT seats will go to Labor’s Katy Gallagher, who has been appointed finance minister in the Albanese government, and independent David Pocock.

The former Wallaby is set to defeat former minister Zed Seselja, becoming the first person from outside a major party to win a Senate seat for the ACT.

Two Indigenous women – Labor’s Malarndirri McCarthy and the Country Liberal Party’s Jacinta Nampijinpa Price – are expected to take the NT Senate seats.

Senator McCarthy previously held her seat, while Ms Price defeated former CLP senator Sam McMahon, who lost her party’s endorsement and unsuccessfully ran as a Liberal Democrats candidate.

The AEC said state results for the Senate would be available “soon”.

It is expected Labor will have 26 senators and will need the support of 12 Greens senators and Mr Pocock to pass legislation and motions in the 76-seat upper house from July 1.