Bellingham is set to spark a bidding war among Europe's biggest clubs this summer following some scintillating performances for Borussia Dortmund and the England national team.
The 19-year-old has scored 10 goals and provided six assists in 34 appearances for Dortmund this season.
It is only a matter of time before Bellingham leaves the Signal Iduna Park and if Anfield becomes his next destination, Liverpool's skipper will be delighted.
"I just want him to be the best player he can be – of course, if it ended up being Liverpool that would be amazing," Henderson said.
"But it's got to be right for him, and it's going to be every club you can think of that will want him.
"He has to think about himself and make sure he makes the right decision for his career. But there's going to be one lucky club that will end up getting him, whether that is now or in a year or two it will be a lucky club."
"His potential is through the roof, really," Henderson added. "He can be as good as he wants to be – but he's got the right mentality, which is the most important thing.
"He is a really special player and I can't believe his age and his mentality, how he applies himself to training and the games, everything. I've never seen it before, so I'm pretty confident that he'll be a pretty good player for many years to come.
"Honestly, I can't believe his age, how mature he plays, how mature he is off the pitch, in the gym, training, everything, recovery day after the game. He is just dedicated to football.
"He's a special player, but I've said it before we just need to be careful not to apply too much pressure on him but let him play football. When you let him play football you can see what he does for Dortmund, you can see what he does here for England.
"Every time he puts on an England shirt he grows and is getting better and better all the time. Of course there are things he can improve on and get better at – he's only 19 – but the platform and the basis he has got he can go as high as he wants to."