The Chile international midfielder picked up a knee injury when he slipped during training on Sunday and needs to undergo keyhole surgery to correct the problem.
The Bavarians are due to meet Bayer Leverkusen in the semi-finals of the German Cup on Tuesday night and the 30-year-old schemer has no chance of making that fixture.
They then meet Hannover in the Bundesliga on Saturday before taking on Los Blancos in the first leg of their mouth-watering semi-final of Europe’s elite club competition at the Allianz Arena on Wednesday, April 25.
That match is a more realistic target after coach Jupp Heynckes said: ‘Arturo will definitely be out for a short while.’
Vidal made 22 Bundesliga appearances this season, scoring six goals, while he also made eight Champions League appearances.
Domenic Tedesco says Schalke paid the price for missed chances as they were held to a 2-2 draw against Cologne on Sunday.
Jan Oblak says he is happy with Atletico Madrid but refused to completely rule out a move away from the club.
Harry Kane has conceded Tottenham players may have to adopt a fresh approach to big games after another semi-final defeat.
Arsene Wenger has hinted that growing supporter unrest influenced his decision to quit Arsenal at the end of the season.
Swansea boss Carlos Carvalhal says his side's hopes of beating the drop will not suffer following the 5-0 defeat at Manchester City.
Liverpool defender Virgil van Dijk says they are well aware of the threat that Roma possess as a whole, not just Edin Dzeko.
Antonio Conte says his row with Jose Mourinho is a thing of the past as they prepare to face off again in the FA Cup Final.
Paul Lambert believes Stoke will have to win their last three games to have any chance of staying in the Premier League.
Romelu Lukaku believes the current Manchester United squad can win the Premier League title next season saying quality is not an issue.