Gordon is a free agent after being released by Sunderland and has been linked with Hull since his former Black Cats manager, Steve Bruce, took charge of the Championship club on Friday.
However, the 29-year-old is not in any rush to decide where he will be plying his trade next term.
"Things will work themselves out over the next few weeks," said Gordon today while promoting the announcement of Weatherseal's deal to become the Scottish Premier League's official home improvement partner.
"I've had a few bits and pieces of contact from different clubs but I'll take my time and see what the best offer is over the summer and see where next season takes me.
"I'm quite relaxed that it will all get sorted out and I can get some first-team football under my belt."
Bruce claimed Gordon was a "possibility" as he looks to put his stamp on Hull, who finished two places outside the play-offs last season.
Gordon has also been linked with West Brom, Southampton and Celtic and is open to a move abroad.
"There is always going to be speculation, managers that know me from the past, Scottish managers, things like that are always going to get put in the press," the former Hearts player said.
"I'll just wait and see what comes over the next few weeks."
Gordon has only played one first-team game since February 2011 after undergoing knee surgery.
His appearance in a 2-2 draw against Bolton in April proved to be his final game in a five-year spell at Sunderland that was also disrupted by two fractures of his arm.
Gordon, who was signed in a £9million deal from Hearts, is desperate to return to first-team football and challenge Allan McGregor for the Scotland number one jersey.
"It's not been ideal the last year and a half, two years with injuries," he said.
"I've kind of got a reputation from it which is a little bit unjust.
"But these things happen and you have to bounce back.
"I've got a lot of hunger and desire to get back playing and showing what I can do again because it's not been nice not playing and not participating every week."
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