The Reds are set to have numerous players taking part at the European Championships, and a few a the Copa America.
Brazil was named as the host nation for the tournament just a month out after a surge in Coronavirus cases in Argentina.
But reports suggest numerous Brazilian players are unhappy about the last-minute switch, and could withdraw.
That would mean an extended break for Alisson Becker, Roberto Firmino and Fabinho, who have all been included in the Brazil squad.
Brazil are set to face Ecuador and Paraguay this week in World Cup qualifying matches before the Copa America begins next week.
But if the Selecao withdraw, the three Liverpool stars could return to Merseyside for pre-season training early.
The Reds are due to report back at Kirby on July 12, although that is the day after the final of the Copa America.
As a result of the congested schedule, any player involved in an international tournament this summer will be given extra time off before returning for pre-season.
That means that the likes of Jordan Henderson, Diogo Jota and Thiago Alcantara will all be given time to rest after the European Championships before returning to club action.
It’s still yet to be confirmed whether Brazil will compete at the Copa America or whether they’ll withdraw.
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Brazil captain Casemiro didn’t show up to his press conference this week. And no player from the national side has commented in public since the change in venue.
Brazil boss Tete has, however, spoken about how his players have reacted to the decision to hold the tournament on home soil.
He confirmed that Casemiro hadn’t attended his press conference out of protest against the decision.
When asked if his players planned to protest, he said: “They have an opinion, they exposed it to the president … and they will expose it to the public at the appropriate time. That is why our captain Casemiro is absent today.
“We asked our athletes to focus only on the match against Ecuador. We have a priority now, to play well and beat Ecuador. We understand that after the two rounds these situations will be clear.”
The Reds were apparently set to play a double-header against the Red Devils, one game at Anfield and another at Old Trafford.
But after United fans protested against the club’s owners and forced the postponement of a game between the two sides, those plans have been scrapped.
As a result, Liverpool are now looking for alternative opponents, and could still hold a game at Anfield as fans continue to return to stadiums.