The actor has been keeping himself busy with regular social media updates, including live readings of children's books and ukelele covers.
"I put silly stuff on social media to encourage people, to cheer them up with a message," he says.
He encouraged readers to find "beauty in the everyday".
Neill owns a winery called Two Paddocks located in Central Otago, and says due to border restrictions he cannot get back to New Zealand.
"I speak daily with staff at my vineyards ... I heed the warnings. But I have stopped watching the news. This is the most seriously challenging time of my life, I do not doubt that," Neill shares in the Variety article.
He went on to speak about how tuning into Covid-19 updates was fuelling his anxiety, and he has had to limit his consumption of news.
"The ramped-up anxiety that one gets from all the soaring graphs, the doom-laden background music, the unhinged press conferences; none of it was helping."
Neill ended his piece by encouraging everyone to stay home, and admitting he still misses going to work.
"It's ironic that about the most helpful thing those of us who are unessential can do right now [and I never met an essential actor] is just stay at home, and stay the f*** away from other people."
The third Jurassic World movie is directed by Colin Trevorrow, and was due to be released in 2021.
Neill was reprising his iconic role as Dr Alan Grant.
Laura Dern and Jeff Goldblum are also set to reappear in their respective roles of Dr Ellie Sattler and Dr Ian Malcolm.