Rodgers was held out of practice on Wednesday.
The team has yet to determine if Rodgers will even be able to practice at all this week ahead of their home opener.
Rodgers is considered day to day with his knee injury.
McCarthy said Rodgers is day by day.
Presumably Rodgers will play. While it helps to get a week to rest, it's unlikely Rodgers will be fully healthy by the time Sunday's game kicks off. He completed 17 of 23 passes for 273 yards and three touchdowns to lead the Packers to a 24-23 victory in the biggest fourth-quarter comeback in Green Bay history.More news: Florence Flooding In The Carolinas: ‘The Worst Is Yet To Come’
"This is no layup", McCarthy said Thursday morning. "He'll be given the whole week to get ready".
A two-time NFL Most Valuable Player and six-time Pro Bowl selection, Rodgers has been going through his normal preparation while backups DeShone Kizer and Tim Boyle have taken the actual snaps in practice. He said he feels "a little better every day". The 34-year-old has yet to practice this week, though he says he wouldn't have trouble playing despite not practicing.
When the Vikings and Packers get together, it's often anybody's game but if you're looking where Minnesota might have an advantage it's perhaps on offense where experienced receivers will square off with a young Green Bay secondary.
"So I know what it feels like to play with something like this, and hopefully I'll be at the point where I can (play) on Sunday", Rodgers said.
He described how he was cleared to play by the team doctor at halftime against the Bears so long as he could "deal with the pain".More news: Davis Cup: Lucas Pouille gives France 2-0 lead
"Obviously there's the hope of playing", McCarthy said. "To be in this room, you've got to be mentally and physical tough".
If Rodgers does play, it would be his first game against the Vikings since the two-time MVP broke his right collarbone following a hit from Minnesota linebacker Anthony Barr on October 15.
Aaron Rodgers initially appeared to suffer a significant knee injury during the first half of Sunday's game against the Bears.
Rodgers said, immediately following the game, that he was definitely going to play against Minnesota. Rookie linebacker Oren Burks remains on the list as does safety Josh Jones.More news: 1st private moon flight passenger to invite creative guests