Bradley has revealed he will bring in a couple of new players during the window, and his son Michael, who currently plays in the MLS with Toronto, has been touted as a target.
The midfielder has played in England before with Aston Villa, and has vast experience after playing for the likes of Heerenveen, Borussia Monchengladbach, Chievo and Roma.
However the Swans boss says there are no plans to add the Welsh outfit to his CV, anytime in the near future.
"We've not discussed that one. Michael is obviously completely focused on the second leg against Montreal in the hope of helping Toronto to an MLS Cup final," said Bradley speaking exclusively to The Front 3 Football Podcast.
"There would be so many parts of that discussion, it's not something that in the moment has been discussed at all.
"Toronto was a big challenge. It's not been an easy situation, but they've made progress every year, and I know how committed and how motivated he is - and how excited he is - about the opportunity they have.
"So in the moment, I'm excited for him. You know - we've had moments where our football paths have crossed, but at the same time it doesn't always work out either.
"So I would highly doubt it's the kind of thing that fits well at the moment."