Richard Childress Racing gave the West Australian his NASCAR debut in the Cup Series race on the Indianapolis road course in August.
He is in line for as many as five starts in 2024.
“One of the reasons I am coming over is to possibly talk to a couple of the sponsors that were involved with us and see if we can get the sponsorship lined up and see if we can bring him over again,” Childress told The Australian before travelling to Australia.
“I would like to run him in at least four, maybe five [races]. We have a few road courses but would like to also run him in an oval over here.
“That will see how he's really doing, too. I know he can do road courses and street racing but we want to really run him on an oval. I think he will really be strong on an oval.
“Our whole deal is going to depend on his schedule in the Supercars series, what races that we can race him in.”
With the 2024 Supercars calendar released earlier this month, there is now clarity on which NASCAR races will clash with Kostecki's primary programme.
He qualified 11th-fastest at Indianapolis but a crash late in that session meant he had to revert to a back-up car and was sent to the rear of grid.
From there, Kostecki clawed back 16 positions to finish 22nd.
It was a result which came after virtually no practice time due to a technical issue in that session.
“We didn't do that good a job for him,” admitted Childress.
“We had problems with the car before practice and it didn't work out real good for him.
“We put him behind the eight-ball but ended up salvaging a pretty good day out of it.”
Van Gisbergen will move to the United States next month to begin his new career as a NASCAR driver, and is aiming to be full-time in the Cup Series in 2025.