"I'm not sure whether or not we will but I will push for it."
Armstrong, considered New Zealand's best Formula One hope, was one of three Kiwis [along with Taylor Cockerton and Brendon Leitch] who took part in the 2017 series.
After a change in management of the series, TRS officials have started talking to drivers earlier this season in a bid to make things run as smoothly as possible and they would dearly love to have the young Aucklander locked away as soon as possible - but Armstrong is in no hurry.
"I am already back in contact with M2 competition [the team he drove for in 2017]. We stay in touch because we are good mates now with all my engineers and mechanics," Armstrong explained.
"It is all down to my side just to confirm everything.
"We have got plenty of time."
Meanwhile, he continues to get more experienced racing against the best young talent in Europe and working out with Ferrari on all aspects of his driving.
"With the FDA, I live in Maranello and every day is scheduled," Armstrong explained.
"It is all towards the goal of winning races. Sharpening up everything in terms of fitness, mental training, simulators, everything you could imagine.
"It is a dream come true."