"It's not going to be easy," Ameobi, who is on loan from Newcastle United, told the club's official website. "What game in the Championship is easy? Everybody is beating everybody. The belief is still here, no one has given up.
"I think the gods have favoured us. We're still just six points away, we'll keep fighting and pushing."
Middlesbrough return to action on Saturday when they travel to promotion rivals Hull City.