The defender remains unavailable for selection ahead of their UEFA Champions League league-phase trip to Paris Saint-Germain on Tuesday night.
The 24-year-old Japan international took part in Monday's final session at Sabener Strasse but will not be named in the matchday squad for the first time this campaign, according to the latest team news.
His progress nonetheless offers a timely defensive boost for coach Vincent Kompany as Bayern prepare for one of their toughest away fixtures in Europe.
Kompany confirmed that only long-term absentees Jamal Musiala (leg) and Alphonso Davies (ACL) remain sidelined. The Belgian, whose contract was recently extended until 2029, expressed optimism about the squad's overall fitness ahead of the clash.
Ito joined Bayern from VfB Stuttgart in the summer of 2024 and was expected to play a key role before his injury setback, a recurrence of a preseason issue that required surgery and sidelined him for most of the campaign so far. His ongoing recovery strengthens Bayern's defensive options as they look to build momentum in the revamped league phase.
Bayern have made an unbeaten start in this season's Champions League, winning all three of their opening matches, and will travel to the Parc des Princes aiming to extend that run.
PSG, the defending European champions, share the same perfect record after three wins and will look to make home advantage count in what promises to be a high-tempo encounter between the top two teams in the standings.
Kick-off in Paris is scheduled for 22:00.
Victor Boniface reportedly wants to leave Bayer Leverkusen in January 2027 as he looks to revive his career after a difficult period marked by injuries, fitness problems and limited first-team opportunities.
Robert Lewandowski has backed Lamine Yamal to win the 2026 Ballon d'Or while identifying Bayern Munich attackers Michael Olise and Harry Kane as potential challengers for football's most prestigious individual award.
Bayern Munich coach Vincent Kompany has backed Lennart Karl to rediscover his best form, insisting he is not worried about the teenager's recent struggles.
Bournemouth continued their perfect start to the Europa League league phase with a 3-0 victory over AC Milan, while Crystal Palace drew 2-2 with Besiktas in Istanbul and Juventus were held by Rennes by the same scoreline on Thursday.
