The clubs meet at Anfield this afternoon in a highly-charged game that comes on the heels of the Hillsborough report that revealed the extent of the police smear campaign to blame Liverpool fans for the disaster, which claimed 96 lives in 1989.
Suarez has been instructed to forget about his feud with United left-back Evra. Last December he was banned for racially abusing the Frenchman, and refused to shake his hand before the clubs' subsequent meeting in February. He has been told a repeat will not be tolerated.
Captain Steven Gerrard has said he will speak to the Uruguayan before the game, while the Liverpool's American owners - who were embarrassed by the club's handling of the Suarez affair last season - are prepared to take extreme action if Suarez misbehaves again.
The People claims: "Liverpool owner John W Henry is set to sell Suarez in January if he refuses Evra's hand for a second time."
Gerrard said on Friday: "My advice to him would be to shake hands and move on. Suarez will make his own decision, of course. But I'd like to think he would want to move on himself."
Both sets of fans have been warned about their behaviour ahead of a fixture that has been marred by chants about Hillsborough and the Munich Air Disaster that killed 23 people, including eight United players, in 1958.
This week Sir Alex Ferguson wrote an open letter to United fans urging them to 'stand with' Liverpool, who are playing their first home game since the Hillsborough report.
Liverpool are set to green-light a £150m project to expand Anfield's capacity to 60,000, according to the Mail on Sunday.
Henry's Fenway Sports Group have made detailed expansion plans that would end a decade of stadium uncertainty.
Liverpool had intended to build a new £400m ground in Stanley Park, but progress stalled under previous owners Tom Hicks and George Gillett.
Now FSG appear to have settled on a cheaper solution.
A council spokesman told the Mail on Sunday: "It does seem to be the case that the club have decided to stay at Anfield and that Liverpool officials are preparing to confirm the decision."
Anfield currently holds 45,000, and increased capacity is vital for Liverpool to increase revenues.
Sunday's visitors Manchester United play in 75,000-capacity Old Trafford, while Arsenal moved to the 60,000-seater Emirates Stadium in 2006.
Chelsea and Tottenham are both looking to move to larger stadia.
Tottenham are set to appoint Fabio Capello's former lieutenant Franco Baldini as their director of football, the Sunday Telegraph reports.
Baldini, who served under Capello at England, is seen as the outstanding candidate to join Spurs, where he would work alongside manager Andre Villas-Boas.
The Italian is currently general manager of Roma, but could be persuaded to return to England.
He has a good relationship with Villas-Boas and Spurs hope his appointment would be seen as a vote of confidence in their manager, who has endured a rocky start at White Hart Lane.
Baldini is popular with players, and was used by Capello as the main line of communication with his squad.
Meanwhile, Premier League legend David Ginola has said he would love to return to Tottenham as manager.
Ginola, who is doing his coaching badges at the club, said: "People at the club have not forgotten me, and I have not forgotten them.”
Tottenham and Liverpool are leading the chase for highly-rated Spanish striker Isco. Liverpool's lack of striking options have been well-documented and the 20-year-old Malaga man could be available for £15 million. (The People)
Aston Villa boss Paul Lambert has pinpointed Dan Gosling as the man to turn around his side's ailing fortunes. The out-of-favour Newcastle man could be available for just £2m. (Sunday Mirror)