Carlo Ancelotti has turned down the chance to return to AC Milan, telling the club he needs rest.
Jose Mourinho insists Diego Costa is content at Chelsea in response to reports linking him with a return to Atletico Madrid.
The Reds have been tracking the 18-year-old for some time, with contact having been made in the past.
Hansen is due to spend a week working with Liverpool's reserve side, as he looks to catch the eye of the Reds' coaching staff.
He is currently back-up to the more experienced Martin Hansen at Viborg, but is considered to be a hot prospect for the future.
"I look forward to trying to impress," Hansen told Viborg's official website.
"It will be a great experience."