Josh Brown was a believer in the social media giant.
"It's down 40 percent already. You really have a lot of guts staying short this stock. After 15 weeks, the stock almost cut in half," he said. "Everyone's pointing to the lockup expiry. This is like Y2K. Everyone is fully aware of this. There's no one that's not."
Brown called it "a non-event."
Twitter CEO Dick Costolo, along with co-founders Jack Dorsey and Evan Williams, said in a regulatory filing on Monday that they did not intend to sell stock when the company's lock-up period expires May 5.
Read More Twitter CEO, co-founders not selling stock
Brown also said that he had visited Twitter headquarters.
"I know how they feel about their company and where it fits in the road map of the future of the web," he said. "They are not rushing to hit the bid at all-time lows since the thing's come public."
Brown also said he believed the company had "a trick up its sleeve" it would announce May 1.
"I think it'll be a nice catalyst for a pop," he said.
OptionMonster's Jon Najarian argued that Apple was a better bet for potential growth.
As evidence, he cited the company's 2013 revenue of $170.87 billion and profit of $37.04 billion.
"Twitter isn't even in the same sphere with these guys, not even the same universe," he said. "As far as them becoming the next Netflix, the next Facebook, the next Twitter, the next PayPal, for that matter, all of that is out there for Apple.
"That's why I've been so critical of them, because they haven't capitalized on it yet."