The Salford Red Devils winger, 27, recently penned a one-month contract with the Super League strugglers.
Williams now hopes that he can do enough to earn himself a long-term stay at Provident Stadium.
"Hopefully I can come here and play well, and if [the club] likes me then I can stay here long term," he told the Telegraph and Argus.
"I've only been here for a couple of days but you can see it's a great club with a great set of boys. It would be good to be a part of it on a permanent basis but we'll just have to see how it goes."
Williams could make his Bradford debut on Sunday when they host Catalans Dragons in Super League.