Chicago dealt a 2021 fourth-round pick to Minnesota in order to move up.
"I'm really excited to get up there and show Chicago what I'm made of," Gipson said.
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Gipson had 15 tackles for loss and eight sacks for Tulsa in 2019. At 6-foot-3 and 261 pounds, he projects as an edge rusher.
NFL Media draft analyst Lance Zierlein previously compared Gipson to current Bears defensive lineman Roy Robertson-Harris.
"Gipson isn't NFL-ready yet, but he's a potential diamond in the rough as a long-limbed defensive end in odd or even fronts," Zierlein wrote.
Gipson agreed with the idea that he's a raw prospect. He sees that as a positive of what he can become.
"I don't think I've reached my full potential just yet," Gipson said.