"I was all set to rejoin Carlisle, but (John Ward) said he needed to take a closer look at the players already there before making his mind up," Bridges told the Sunderland Echo.
"With Sydney waiting for an answer, I couldn't afford to wait.
"I've spoken to Dwight Yorke about life there and he said I won't want to come back after sampling the lifestyle.
"But I plan to come back - English football hasn't seen the last of me."
He added: "This is a big adventure and playing with someone like Juninho will be fantastic."