Woodley, who is currently recovering from a broken foot, believes that if he is able to beat Hendricks, he will increase his chances of facing current champion Robbie Lawler for the welterweight title.
"I think Johny should fight me," Woodley told The MMA Hour. "We got unfinished business from the Big 12 days. I think it's a great style match-up. Two wrestlers with heavy power, beating a lot of top 10 guys."
While Woodley admitted that he has had "some bumps along the road", he pointed out that he has always bounced back in the best possible way.
But, the 32-year-old has started to grow weary of talking and has decided to let his fists speak for him from now on.
"You saw me lose to freakin' Jake Shields and I bounced back and I knocked out freakin' Koscheck," he said. "I lose to Rory MacDonald. Two months later on short notice I knock out Dong Hyun Kim. Let's be for real. Let's get this going."
Woodley, who is ranked third in the welterweight division, also admitted that he was extremely frustrated when Matt Brown had the opportunity to fight Lawler on two separate occasions.
Due to this, Woodley sent a text message to UFC president Dana White, CEO Lorenzo Fertitta and matchmaker Joe Silva the morning after UFC 185.
He also mulled over whether Brown really deserved to fight Lawler twice after never having beaten a top 10 welterweight fighter in his career.
"I sent [messages] to [UFC President Dana White] the next morning because I didn't want to bug him. I know it was a long night," Woodley said. "Usually it's just Dana. This time [UFC matchmaker] Joe [Silva] got a message. [UFC CEO] Lorenzo [Fertitta] got a message. I'm tired of this, man.
"It's at the point where I don't want to sound like I'm whining and complaining, but why do we have a rankings system? You have a no. five welterweight who's fought back-to-back no. 1 contender fights and has never beaten a top 10 welterweight ever.
"He fought Robbie [Lawler] in two close fights. I think that we need some new blood. We got these guys like myself and other fighters who are doing what they're supposed to do. How does a no. five ranked fighter fight the no. 1 guy and I don't fight the no. 1 guy?"