Werder director of sport Klaus Allofs has given the Bundesliga some encouragement to take on Bayern in the league.
"I don't think that the other 17 Bundesliga clubs need to raise the white flag in front of Bayern," he said after his side's 2-1 win over Hertha Berlin last weekend left the in second place, just two points adrift of the leaders.
Bremen travel to north Germany rivals Hannover on Sunday, by which time they will know whether a win will take them top.
Elsewhere, Huub Stevens' first match in charge of Schalke comes against managerless Hamburg at the HSV-Arena.
Hoffenheim brought an end to Bayern Munich's Bundesliga winning streak by holding them to a goalless draw at the Rhein-Neckar Arena.
The Bavarians had won their last 10 coming into Saturday's game, but they had to settle for their first draw of the season, enough to extend their lead at the top of the Bundesliga to three points.
Bastian Schweinsteiger had a goal rightly disallowed for Bayern, who at least managed to extend their record of not having conceded a goal for over a month and a half.
A deflected goal from defender Johannes Flum was enough to earn Freiburg only their second win of the season, 1-0 over Borussia Monchengladbach at the Dreisamstadion.
The win lifts some pressure off Freiburg coach Marcus Sorg, whose side move out of the bottom three as a result, while Gladbach missed the chance to join Bayern at the top.
Flum scored the only goal of the game in the 19th minute with a deflected shot from just outside the penalty area.
Borussia Dortmund bounced straight back from their midweek Champions League disappointment to see off winless Augsburg with an emphatic 4-0 win at the Westfalenstadion.
Robert Lewandowski grabbed a hat-trick and Mario Gotze was also on target as the defending Bundesliga champions moved up to fourth in the table with their second win in a row taking them to within six points of the summit.
They were aided by some poor defending from Augsburg, who dropped to the bottom of the table as a result of the heavy defeat.
Nurnberg and Mainz shared six goals in an entertaining Bundesliga encounter at the Frankenstadion.
Markus Feulner and Robert Mak put the home side two goals up within 20 minutes, but Mainz drew level before half-time with goals from Niko Bungert and Eric-Maxim Choupo-Moting.
The visitors took the lead early in the second half through Andreas Ivanschitz, but Tomas Pekhart had the final say with an equaliser eight minutes from time.
Bayer Leverkusen got back to winning ways in the Bundesliga with a 3-1 win over Wolfsburg which takes them into a pack of teams chasing the top three and leaves the Wolves struggling on the back of their fifth defeat of the season.
Gonzalo Castro gave Leverkusen the lead in the 14th minute, but Mario Mandzukic levelled for the visitors on the hour mark.
Eren Derdiyok restored the home team's advantage five minutes later and Stefan Kiessling rounded off the win five minutes from time.
At the Olympiastadion Hertha Berlin ended Cologne's recent revival with an emphatic 3-0 success.
Youngster Pierre-Michel Lasogga was on target twice with Raffael netting the third goal as the home team wrapped up the win inside the first half.
The weekend action kicked off on Friday when second-half goals from Cacau and Khalid Boulahrouz were enough to give Stuttgart an impressive win at Kaiserslautern and move them into fourth place in the Bundesliga.
Sunday's Bundesliga Fixtures
Saturday's Bundesliga Results
Friday's Bundesliga Result