Wolff sees his current deal at Mercedes expire at the end of the 2020 season - coincedentally, at the same time, Chase Carey (F1 CEO) sees his deal expire as well.
However, Hamilton is unsure about his current boss taking over F1, despite praising him as a manager; the five-time world champion wants to see a "complete neutral" take over the reigns.
"I don't believe there's a better manager than Toto within the whole of Formula 1," Hamilton claimed to RaceFans. "However, sitting back as a fan, sitting in the room with people who have to make ultimate decisions we, as humans, we can be biased.
"You've got (FIA President) Jean Todt who, I know Jean is level, but the fact is he's been with the red team for so long surely when he wakes up there's a red T-shirt and there's a silver T-shirt he probably goes for a red one, you know what I mean? Just like when I get out of bed and I see 44 I see number six, I will go for number 44.
"Toto has been Mercedes through and through for such a long period of time. I don't know if there's anything in that but if there's a choice of management I think he would be the best."