The 30-year-old high school swim coach was nominated alongside Shelly Moore this week after being named as a replacement for former nominee Adam Poch, who successfully won the Power of Veto competition and removed himself from the chopping block.
Five of the six voting houseguests chose to eliminate Villegas, with only girlfriend Rachel Reilly attempting to spare him.
Speaking to host Julie Chen following his elimination, he was questioned as to whether he would have worked with houseguest Daniele Donato had she kept up her end of their alliance.
Villegas explained: "Maybe, because in this game Rachel and I realised that we were working by ourselves. The dynamic was different this year but it really was us against the house. I think at some point, everyone in the house wanted to work us out."
However, he claimed that his fiancée would be more successful in the game than he had been, saying: "She's going to win Head of Household and she's going to shake things up. She's going to try and ride things out for a little bit, as long as she can - stay in with Daniele, stay in with Jeff and Jordan. We'll see."
Villegas, who was also the fourth houseguest to be eliminated from the competition, returned to the game only last week after he was chosen by America to compete to re-enter the house.
"I'm grateful for everyone who allowed me to come back [into] this game. It sucks to be evicted, especially twice, but I'm going to the jury house," he said.
Big Brother continues on Sunday at 8/7c on CBS.