In a statement posted to his Instagram page over the weekend, Dilling, who has been executive chef at The Greenhouse for the past two years, described his experiences working at the restaurant as being 'an amazing journey'.
"It is with great sadness I confirm The Greenhouse Mayfair will not be reopening," he wrote.
"I want to thank all of the team that was a part of it; for supporting my vision of gastronomy and culture of hospitality. You are all incredibly talented and I am so proud to have called you my colleagues but more importantly my friends.
"I have no doubt we will all cross paths again."
The Greenhouse first opened its doors in 1977, and won its first Michelin star in 1996 when the late Gary Rhodes was in charge of the kitchen.
It was eventually acquired in 2003 by the Marlon Abela Restaurant Corporation (MARC), and earned its second Michelin star in 2013.
Dilling joined the restaurant as executive chef in August 2018, having perviously run Helene Darroze's restaurants in London and Paris.
"I also want to thank all of the guests that came and enjoyed our craft. We found so much joy in our work and got to challenge ourselves daily to bring you a unique & memorable experience," added Dilling in his statement.
"And finally our suppliers, a cuisine based purely on the quality of product was only made possible through your support and passion."
The closure of The Greenhouse marks the latest stage in the collapse of the restaurant empire owned by tycoon Marlon Abela.
MARC came under scrutiny in July last year after auditors raised a red flag over its accounts, and Abela was subsequently served with a bankruptcy petition by his lawyers in October.
Then, in early February, the group's Umu and The Square restaurants were both closed, as was it private members club Morton's.