The Germany international's contract with the Reds is to expire at the end of the campaign, meaning he is free to discuss terms with potential suitors outside of the Premier League with a view to a free transfer in the summer.
"My agent is looking after everything, but I am here until the summer," he said, per Sky Sports. "I haven't signed anything (with Juventus) or anyone. I am talking with everyone; of course, I am talking with Liverpool. Why not? I still have a contract here. It is an amazing club. What can I say? My agent does the rest."
The 24-year-old has split opinion in the Liverpool fanbase this season, as some good displays have been followed by passive ones.
Football writer Ben Webb commented on Can's performance in the 4-3 win over Manchester City on Sunday, suggesting the club should be doing all they can to keep the player:
All the attributes are there for Can to go on to become one of the finest midfield players in European football once he's matured.
He has the physicality to cope with the robust Premier League, can drive forward with the ball and has the composure in possession to make an impact in the final third. He also showed against City he has the energy to play a key part in a pressing team.
There's no doubt he's improved under the guidance of manager Jurgen Klopp, and Bayern Munich US' Cristian Nyari suggested he's now a crucial player for the Reds:
However, the fact he has less than half a season to run on his contract is indicative of a footballer not content with life at Anfield.
Juventus are a tempting proposition. The Bianconeri have dominated Italian football for many years and regularly contend for the UEFA Champions League.
As noted below by the SPORTbible account, Juventus have a habit of picking up players on free transfers:
Still, the project at Anfield is an exciting one. Not only are Liverpool playing some thrilling attacking football, they appear the most likely challengers to Manchester City at the summit of the Premier League table in the long term.
It would make sense if Can wanted to remain a part of this setup, as the Reds are a side with momentum at their backs. If Liverpool can eventually get him tied down despite admiring glances from Turin, it would be a major boost.