Swans boss Michael Laudrup had suggested the 29-year-old would struggle for regular slots this year, but Tate has no plans to look elsewhere.
He told the South Wales Echo: "I'm happy to fight for my place if I have to.
"I've been in this situation before and it's a lot worse when you're in the same position in League Two than when you're in the Premier League.
"I didn't expect to start the season having not got fully fit last year, Ash playing so well and when the manager bringing in a £2m centre-half it dictates you're not going to play.
"It's about not being down and when get chance showing manager what you can do like did against Barnsley.
"We've spoken about where I stand. I wouldn't go public with what we said but I was happy with what he said and he was happy with what I said, as long people don't go back on their words we'll be fine."