The 26-year-old now admits he would welcome the opportunity to see out his playing days at the Liberty Stadium, helping to dash reports that he was seeking a switch closer to his young daughter in London.
"The rumours are always going to go about when you have a year left on your contract," Britton said in the South Wales Evening Post.
"It has been difficult for me because my daughter is in London. There is an off-the-field issue there which is difficult for me because I don't get to see her as much as I would like.
"But that's life, I have to try to adjust around that and see as much of my daughter as I can.
"I am focused on my football but at the same time I want to be there for my daughter, see her grow up and be a dad.
"The international breaks help so I can see her and she comes up to see me for home games.
"I want to be here - it's a balancing act that you have to get right.
"But I would love to finish my career here.
"We met with the club on Monday to talk about extending my contract here.
"I'm hoping it will be a long-term contract that would hopefully see me get a testimonial and that would take me up to 30 years old if it is all agreed.
"We are waiting for a call back from the chairman. When he does we will go from there. The ball is back in Swansea's court."
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