QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
Ilkay Gundogan has commited his future to Borussia Dortmund by signing a new contract.
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."