The Germany global was the number one summer target for Juve, with his contract expiring at the end of the current season.
Can has just nine months left on his deal with the Reds, and negotiations have stretched beyond a year, with the club initially making contract last June.
The Germany worldwide told Kicker: "It's always an honour to receive an offer from such a renowned club, but now I am only focused on the season with Liverpool".
Giants' Marshall to undergo season-ending ankle surgery
I'm not sure how good either of these two are right now but it would be pretty cool to see them back catching passes. Marshall was injured when he attempted to make a catch deep down the left sideline Sunday and landed awkwardly.
Liverpool, seventh on 12 points, have struggled to convert their goal-scoring opportunities this season but will be fired up for Saturday's fixture against a free-scoring United side, who have won six of seven and drawn just once this campaign.
"He did his ACL previously, so there was that similarity in that he understands what it's like to go through something like that and also know that when you come back things might not be quite the same".
Liverpool boss Jurgen Klopp is under no pressure from the club's hierarchy and remains the "perfect" man to lead the club, according to former chief executive Christian Purslow.
Twitter blocks political ad over claim against Planned Parenthood
The claim stems from a 2015 video published by the Center for Medical Progress that claimed to show undercover footage of Dr. Advertising on Twitter has its advantages for campaigns - it's much cheaper and can be more highly targeted than TV ads.
The former Bayer Leverkusen midfielder has scored 10 goals in 138 appearances for the Reds, including two in a Champions League play-off against Hoffenheim, and wants to add to the tally but said sometimes his role in the side can make it more hard.
"At times this season I've been dropping deeper but there have still been chances for me to get forward to support the attack and even score". Do I think it is too cool that we didn't fix it so far?
"He takes time out for you and I think he's aware of everyone's feelings".
Kim Jong Un boosts family power by promoting sister Kim Yo Jong
The POTUS says that there is the only way to talk with North Korea , hinting about a possible military exercise. Faced with worldwide sanctions and the potential threat of armed confrontation with the U.S.