The northern side picked up seven points in seven days to move away from the bottom of the Bundesliga table.
Tomorrow's [Saturday] hosts have yet to pick up a point at home all season - but Hamburg coach Thorsten Fink says his players must keep their concentration and continue playing the way they have recently.
He said: "Everything was perfect in our last few games. Now we have got to find the same values of passion, motivation, enthusiasm and team work against Furth as well.
"It is going to be a tough battle because Furth are going to want to win at home too."
Fink is unable to name an unchanged side as Ivo Ilicevic has torn muscle fibres - the manager has hinted that Petr Jiracek will take his place.
"We need a fighter," he said on his club's website. "Especially against Furth, who will probably try to be aggressive against us to get into the game. We need players like him to counter this."
Heiko Westermann and Rene Adler, two key players in Hamburg's recent resurgence, have both missed a few training sessions this week, but both should be available.
Furth coach Mike Buskens hopes his side's fourth home game of the season will reverse the trend of the first three and that his team can match the passion showed by their fans.
"Our fans are definitely good enough for the Bundesliga and now it is up to us to give something back to them," he said at the pre-match press conference.
"We want to prove people wrong who claim we are not good enough for the Bundesliga."
Buskens also has several injury problems with Thanos Petsos definitely out and Edgar Prib and Felix Klaus both doubts.