The 26-year-old, who claimed his first Supercars title in Adelaide in November, had not raced at all this year and had been absent from the opening two rounds of the Repco Supercars Championship.
In a statement released by his team Erebus Motorsport, Kostecki said he was excited to be back behind the wheel again.
“I’m grateful for the support, privacy and time... the team have given me.”
Kostecki had not previously commented on his reasons for missing the opening two rounds of 2024.
In the statement, Erebus Motorsport said Kostecki would undertake a test day at Winton Motor Raceway in Australia this week ahead of next week’s ITM Taupō Super400.
The town expected a crowd of up to 25,000 people each day.
“We’re expecting to see heavy traffic volumes in and around Taupō over the few days of the Supercars Championship,” said Andy Oakley, system manager for New Zealand Transport Agency Waka Kotahi in the Waikato.
“Anyone travelling on State Highways 1 and 5 through the central North Island should allow plenty of time and expect delays as they get near to Taupō.”
He advised that all non-essential maintenance road works along those two state highways would be paused during the time of the event, however, some sites had temporary speed limits in place.
Parking for the Supercars Championship would be available from the SH1 Centennial Ave Interchange only, no access would be available from Broadlands Rd.
Anyone staying in Taupō, especially those travelling from the north on SH1 and SH5, should use the SH1 East Taupō interchanges for easier access to town rather than Wairakei Dr.