The Magpies have not won a league game at Anfield since April 1994, when goals from Rob Lee and Andy Cole secured a 2-0 victory.
However, they had not managed to collect three points at Old Trafford since February 1972 when Yohan Cabaye fired them to a 1-0 win in December 2013, and Carver is pinning his hopes on a similar breakthrough on Merseyside.
John Carver: "We have a great relationship with the Liverpool fans. Liverpool and Newcastle fans have had some fantastic matches to watch between the sides, like the two 4-3 games there.
"We've responded in the past and the players owe it to themselves. We won at Old Trafford last season. So, Theatre of Dreams, Anfield - two meccas of football - and it can be done.
"Defeat in the derby not easy to take, mind, it's hard to take, but you have to, you have to live with it. It's part of what we do.
"It would be dead easy to say, 'I've had enough, thanks'. I'm not going to do that, and I have still got my enthusiasm, as you can see.
"When we get to Anfield, the fans will still be hurting from last weekend, but hopefully they'll put all that aside and get behind the team."