The pair insisted that they are "up for a laugh" and would be "TV gold" on either reality show.
Watch what they had to say below:
Lucy Texeira said: "We're up for anything. We're up for a laugh. We'd like to do Big Brother, I'm A Celeb would be hilarious.
"I just think we'd be TV gold. We're scared of everything."
She added: "We're just putting it out there, putting the feelers out. If anyone wants to approach the Shoes, call us, emoshe."
Asked which series they'd prefer to take part in, the singer said: "Jungle would be hilar. I think we'd be fine. We've got each other you see, we'd have to be one contestant - we couldn't be separated. It's like Jedward."
2 Shoes recently revealed that they would like to perform their new single 'Turn Me On (Turn Me Out)' on the next series of The X Factor.
Watch the 'Turn Me On' music video below: