The report cleared Liverpool fans of any blame for the deaths of 96 of their own supporters during crushing on the terraces before and during the 1989 FA Cup semi-final against Nottingham Forest at Sheffield Wednesday's Hillsborough stadium.
But United fans, who have often taunted their rivals about Hillsborough in the past, engaged in anti-Liverpool chants during last weekend's win over Wigan, raising fears they would do the same at Anfield and potentially spark serious crowd disorder.
Carrick, who scored United's winner in their
"After what has gone on there is added responsibility on the players for everything to go smoothly. We will be doing our utmost to make sure that is the case," Carrick said.
"It is a heated game because it is a great football match. It is a rivalry of two great clubs with great histories and traditions. It is what makes the game so special, a classic game worldwide.
"Hopefully it will be a cracking game of football because it is vital that after Sunday, everyone is talking about the football."
While all eyes will be on any potential flashpoints at Anfield, the fixture is crucial for both teams and for vastly different reasons.
Second placed United have failed to win any of their last five trips to Liverpool, but they look to have a golden opportunity to end that run against Brendan Rodgers' side, who are struggling at the wrong end of the table after opening the season without a win in their first four league games.