The Welshman had been scheduled to box unbeaten Ryan Coyne but a contractual dispute between the southpaw and promoter Don King led to him pulling out.
'Sioux Warrior' Hawk, of Atlantic City, is an orthodox fighter and holds a 23(17)-2-1 record having lost his last fight on points against Eleider Alvarez in the summer.
"I will be aiming to look good and will definitely be trying to take him out," said an unfazed Cleverly, 25, who has won all 24 of his professional fights, with 11 coming by way of knockout.
"I will look at about three minutes of Hawk on YouTube. That is all I need to see what he's all about.
"He has a good record with a high KO ratio. So he's a big puncher and I won't treat him lightly because I can't get careless or reckless.
"He has a big opportunity by coming in late for a world title bid. He has nothing to lose. He is dangerous but I will be on my guard.
"If I go on my fighting instincts I should be fine on fight night. I should be able to do the business.
"I got to the stage where I didn't care anymore who I was fighting. I decided I was ready to come here and fight whoever it is."
Hawk, 28, has fought mainly at cruiserweight.