That result, Hamburg's equal record heaviest defeat in their 50-year Bundesliga existence, has not only dented morale, but also set them back in their quest for a place in Europe next season.
After reading the riot act in training this week, Fink now expects to see the right kind of response from his players on the field.
"We have got to face up to the pressure that we have put on ourselves," he said.
"It's all about showing a reaction and accepting the challenge. It's about teamwork."
They face a club with no such pressure, but the same objectives for the season.
Freiburg started the campaign with their heart set on staying in the top flight. With 39 points to their name and a 15-point cushion on the relegation zone, they can now set themselves another target - qualifying for Europe next season.
Victory over Hamburg would make that aim even more realistic with six games of the season to play, but coach Christian Streich is particularly fearful of a backlash from the northern Germany side.
"After their last game, Hamburg are like a wounded lion entering the ring tomorrow," he said.
"That is incredibly dangerous. We are going to have to accept the fight from the beginning and push ourselves to the limit.
"No doubt about it - they are under pressure."
Streich is unable to pick the injured Marco Terrazzino, who has a knee injury, while Cedrick Makiadi is still out injured.
Fink is likely to ring the changes after last Saturday's humbling, with Michael Mancienne and Marcell Jansen back after injury and suspension respectively.