The midfielder is reportedly a target for Europe's top clubs including Real Madrid, Barcelona, Manchester United, AC Milan and Juventus.
The League champions beat Schalke 04 in the German Cup final on Saturday.
Robert Lewandowski struck twice to steer champions Bayern Munich to a 2-1 win at Hamburg SV on Friday that stretched their lead at the top to 11 points as the Bundesliga resumed following a one-month winter break.
Bayern Munich's Franck Ribery and Arjen Robben will stay at the German champions next season even if they fail to qualify for the lucrative Champions League, the club said on Tuesday.
Bayern Munich retained their two-point lead at the top of the Bundesliga with a nervous 3-1 victory against Mainz 05 on Saturday as champions Borussia Dortmund kept up the chase with a 3-0 win over Bayer Leverkusen.
Bayern Munich coach Pep Guardiola will see out his three-year contract with the German champions, who are hopeful of an extension beyond 2016, club CEO Karl-Heinz Rummenigge said on Thursday.
Poland and Bayern Munich striker Robert Lewandowski hailed Barcelona coach Xavi as the main reason for his move to the La Liga club.
Manchester United signed Germany captain Bastian Schweinsteiger from Bayern Munich on a three-year contract, the Premier League club said on Monday.
Holders Bayern Munich crushed Hanover 96 4-1 with two goals from Thomas Mueller to reach the German Cup round of 16 On Wednesday.
Champions Bayern Munich crushed Stuttgart 5-1 on Tuesday to ease into the German Cup quarter-finals after a six-week winter break. Hamburg SV striker Ivica Olic scored a hat-trick against 1860 Munich to lead his team into the quarter-finals and show why Bayern Munich rushed to sign him for next season.
Bayern Munich's Thomas Mueller scored in each half as the Bundesliga leaders beat Werder Bremen 2-0 on Tuesday to reach the German Cup final and stay firmly on course for a treble of titles this season.
Bayern Munich winger Arjen Robben is doubtful for their Champions League Group F encounter against Valencia on Wednesday but team mate Franck Ribery is set to play.
Bayern Munich do not have an agreement in place to sell French midfielder Franck Ribery to Real Madrid next season, Bayern general director Karl-Heinz Rummenigge said on Wednesday.
Bayern Munich went on a 70 million euro spending spree after their humiliating fourth-placed finish in the Bundesliga last season and are eager to avenge their failure to win silverware by grabbing all four titles this time.
Barcelona centre half Gerard Pique acknowledged his team were thoroughly second best as Bayern Munich romped to a 4-0 win in their Champions League semi-final first leg at the Allianz Arena on Tuesday.
Lahm, a defensive midfielder, is among Germany's most successful players of all time, having won almost every trophy with club and country, including seven Bundesliga titles, the Champions League and the World Cup.
The club won its 18th German crown with four games left.
Bundesliga top scorer Robert Lewandowski scored eight minutes from time to give champions Borussia Dortmund a nervous 2-1 win at 10-man VfB Stuttgart on Saturday and delay the all but inevitable Bayern Munich title party by at least a week.
IMAGRS from the soccer matches played across European leagues on Friday
Bundesliga leaders Bayern Munich effortlessly cruised to a 1-0 victory at Hoffenheim on Sunday courtesy of a Mario Gomez goal that kept them on course for the title with a 17-point advantage at the top.
Bayern, who won the Champions League in 2013, have yet to hit top form this season, with many players tired after the World Cup and others, including Thiago Alcantara, Bastian Schweinsteiger and Rafinha, out injured.
Kingsley Coman came back to haunt Paris St Germain again as he earned Bayern Munich a 1-0 win in their Champions League last-16 first leg in Paris on Tuesday.
Jose Mourinho refused to comment on the performance of English referee Howard Webb in his side's 2-1 Champions League semi-final first leg defeat by Bayern Munich on Tuesday, except to say that the Bavarians' first goal was offside.
Robert Lewandowski struck twice as champions Bayern Munich eased past Freiburg 3-1 on Saturday to secure a record 15th win in a row and the Pole became the first foreign player to score 33 goals in a Bundesliga season. Erling Haaland scored twice as Borussia Dortmund beat closest challengers RB Leipzig 2-0 away on Saturday to wrap up second place in the Bundesliga.
Visitors Schalke put a dent in Bayern Munich's Bundesliga title hopes by snatching a 1-0 win over the champions in a bad-tempered game on Saturday.
Eintracht Frankfurt stunned Bayern Munich with two late goals to beat the Bundesliga leaders 2-1 on Saturday and leave the top spot up for grabs.
Arsenal named a strong side captained by Mesut Ozil while Real had Bale on the bench and Eden Hazard, wearing the number 50 shirt, starting alongside fellow new signing Luka Jovic in attack.
Flawless Bayern Munich struck twice in three minutes to beat Schalke 04 2-0 on Saturday and stay top of the Bundesliga with four wins from four as rivals Borussia Dortmund lost 3-2 at Hamburg SV to end a 31-match unbeaten run.
The Polish forward scored 15 goals on the way to Bayern Munich's sixth Champions League title, hitting the target in every match before the final except a group game against Tottenham Hotspur when he was rested.
Treble-winning Bayern Munich coach Jupp Heynckes will take time out next season but fell short of announcing his retirement on Tuesday following his club's most successful season to date.
Coach Ottmar Hitzfeld was relieved to see Bayern Munich restore normal service at the Allianz Arena with a 2-0 win over Karlsruhe on Saturday.
Bayern Munich swatted aside Raja Casablanca 2-0 in a one-sided Club World Cup final on Saturday that did little to boost the credibility of a tournament which struggled to an anti-climax.
The Arsenal manager said the Champions League draw offers Arsenal a chance to exact revenge for one of their worst displays in Europe.
Barcelona midfielder Gavi delighted to be back after 348-day injury layoff
Bayern Munich have signed midfielder James Rodriguez from Real Madrid on a two-year loan deal with an option to buy the player, the German champions said on Tuesday.
Germany's Thomas Mueller has called time on his 14-year international career after their European Championship exit, the Bayern Munich forward said on Monday.
Manchester United, comprehensively outplayed by local rivals Liverpool and Manchester City at Old Trafford recently, face an even tougher challenge when holders Bayern Munich come calling in the Champions League on Tuesday.