Defender Tate has returned to the Liberty Stadium following a loan spell in the Championship with Leeds United, where he made 11 appearances.
The 30-year-old has two-and-a-half years, plus the option of a further 12 months, to run on his Swansea contract and is determined to reclaim a spot in the first-team.
Tate told The Sentinel: "I have come back feeling fit and I am just trying to get back into the squad and into the team.
"Obviously the team have been doing very well so it's going to be hard to get back in, but at the end of the day I am not a quitter so I will be here giving it a go.
"This is my club. This is where I want to be.
"Who knows what happens in the future. Like I said when I went to Leeds, nothing is forever - everyone's playing days come to an end at a club.
"It happens to everyone at some point, but I would like it to come to an end on my terms."
Swansea currently sit eighth in the Premier League after producing some impressive performances this season and Tate knows competition within the squad is tough.
The stopper, who made four appearances for the Swans earlier in the season, added: "Everyone wants to play regular football, and I have got the choice of playing for another club or trying to play for the club I love and in the city where I am settled. It's hard really.
"But to me nothing is different from what I have felt through all my career - this is where I want to be.
"There's a lot of competition for places - you've got Garry Monk, Kyle Bartley and me not playing at the moment.
"But you have to accept that the competition is tough when you are at a Premier League club."
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