The report in a national newspaper on Thursday suggested that Sousa is in the frame to take over at Hull and "at least one other Premier League club".
But the 39-year-old former Queen's Park Rangers boss says it would be extra special to reach the top flight with Swansea, who were written off as contenders at the start of the Championship season.
"It's a big achievement for a manager where the expectation in the beginning is so poor," Sousa added.
"It's a massive achievement for me and special for my players, for the club, for the fans and I hope we can achieve that."
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