Hamburg boosted their hopes of avoiding an historic relegation from the Bundesliga with a dramatic 3-2 win over Augsburg to climb off the bottom of the table on Saturday.

While Bayern Munich can have their 25th German league title confirmed this weekend if they beat or draw with Hertha Berlin on Saturday night and other results go their way, Hamburg leapt from last to 16th place.

Pierre-Michel Lasogga, who has been capped by Germany, was Hamburg's hero with two goals including the crucial late effort.

Hamburg are the only team to have never been relegated from Germany's top-flight and Bruno Labbadia's side are now only one point from safety after picking up their first win in 10 matches having raced into a 2-0 lead with only 19 minutes gone.

Croatia striker Ivica Olic scored his first goal for Hamburg since rejoining from Wolfsburg in January with a left-footed shot on 11 minutes.

The hosts doubled their lead eight minutes later when fellow forward Lasogga headed home from close range.

Augsburg equalised when Tobias Werner levelled on 69 minutes after a first-half header by Paraguay's Raul Bobadilla.

But Germany striker Lasogga sealed the three points just two minutes later when he smashed home his shot.

Paderborn drop to bottom of the table ahead of Sunday's home clash with Werder Bremen.

Stuttgart remain second from bottom after throwing away a two-goal lead and having Czech midfielder Adam Hlousek sent off for a second yellow card to draw 2-2 at home to Freiburg, who are just two points from the drop zone.

Schalke's 2-0 defeat to Mainz on Friday and Augsburg's loss in Hamburg left both Hoffenheim and Borussia Dortmund within striking distance of the Europa League places.

Dortmund, the 2013 Champions League finalists who are three points from a European place, romped to a 2-0 win at home to Eintracht Frankfurt.

Gabon winger Pierre-Emerick Aubameyang converted a first-half penalty, then set up Japan attacking midfielder Shinji Kagawa's 34th minute strike which left Borussia eighth.

Seventh-placed Hoffenheim are two points from a Europa League spot after Adam Schipplock scored their winner in a 2-1 victory over Hanover 96, whose new coach Michael Frontzeck lost his first game in charge having been given a five-game contract to keep them up.

Bayer Leverkusen stay third after their 1-1 draw with Cologne as Julian Brandt's first-half goal was cancelled out by Bard Finne's late equaliser in the Rhine derby.

Borussia Moenchengladbach can knock Leverkusen from third place -- which carries an automatic Champions League place for next season -- when they host Wolfsburg on Sunday.

The result of that game could send the title to Munich if Wolves lose or draw and Bayern win.