According to the Bundesliga champions' director of sport, Michael Zorc, the Turkish midfielder - who joined Real Madrid in the summer of 2011 - would be welcome back in Germany with open arms.
Sahin is spending the 2012/13 campaign at Anfield under the tutelage of Reds boss Brendan Rodgers, having failed to hold down a regular first-team place in Spain.
Jose Mourinho thought it best for the 24-year-old to leave the Santiago Bernabeu in search of regular football, and headed off for the Premier League, but remains under contract with Real Madrid until 2017.
It's not yet clear whether Liverpool want to complete the permanent signing of Sahin, but either way they might struggle to secure his signature, with emerging interest from the player's former club Dortmund.
"Of course we are following Nuri's career - he's one of our lads," Zorc told the Bild newspaper. "We said to him back then (when he left), if Nuri says that he wants nothing other than to play in Dortmund, then we will deal with the issue.
"But it has got to be manageable, and nothing has changed in that regard."