"I think (going No. 1) is still a possibility," Turner told reporters during Thursday's media availability at the NBA Combine in Chicago.
"I think I did a lot of work this year. Just think about all the adversity I came back from and my maturity level now. Not to be arrogant or cocky, but I won every national player of the year award."
Turner said he's been doing a lot of conditioning work and making 550 shots a day, both off the dribble and from behind the arc. He plans to work out for the Wizards and Philadelphia 76ers, who have the No. 2 pick.
Asked to make the case for himself over Wall, Turner highlighted his ability to play multiple positions and mesh better with Washington's current personnel.
"John Wall's a great player, and he’s a great kid," Turner said. "I love John Wall. I just think my versatility. I just think if Gilbert Arenas is still there, I would probably fit in a little bit better than him. But you never know. I think I've done a lot this year to be the No. 1 pick."
Of course, Wall feels as though he too should be the No. 1 pick, but he didn't feel the need to lobby as hard as Turner.
"That's a goal of everyone growing up as a kid," Wall said. You want to be the No. 1 pick but if it doesn't happen that way, I'm going to be cool with it. As long as I get to to play in the NBA, that's my dream come true. It doesn't matter what pick it is."
- John Wall