Honda has powered Verstappen to all three of his world championships so far, with the Dutchman the overwhelming favourite to add a fourth straight title this year.
The Japanese marque has also clinched two constructors' championships with Red Bull, the culmination of an initially troubled F1 return with McLaren in 2015.
Verstappen's relationship with Honda is set to end in 2026, when it will become the works partner of Aston Martin.
Honda initially decided to withdraw from F1 by the end of 2021, but by the time it walked back on that decision Red Bull had already pressed ahead with its in-house Red Bull Powertrains division in Milton Keynes, which is working on its first bespoke power units for the 2026 rules era.
Barring a U-turn of his own, Verstappen is contracted to Red Bull until the end of the 2028 season.
Speaking to Autosport in a rare interview, Honda Racing Corporation president Koji Watanabe said he was sad to see Honda's relationship with Verstappen nearing its end, but hoped they would one day be reunited.
"I don’t think that day will come within a very short period of time, but if both continue their Formula 1 activities in the future then we hope that we can work together again one day," said Watanabe.
"It is a very good relationship. We trust each other and also the Honda workers love Max. We are proud to work together with Max, so we will miss him in the future.
Source: Autosport