That victory lifted Christian Streich's men out of the bottom three for the first time in months, raising hope that they can avoid relegation this season.
It will mean little, however, if they do not follow it up with another positive result at the Coface Arena.
"It was a happy ending for us," said Streich, reflecting on last Saturday's dramatic victory.
"But we won't let that result distract us. After the Leverkusen game and now before this one, we are not anywhere near where we want to get.
"This is a completely different game."
Streich was not completely satisfied with what he saw against Leverkusen, in spite of the "happy ending".
"There were times when we let them have too many chances and we didn't always find the right balance," he added at a press conference.
"We didn't get everything right tactically either."
Mainz coach Thomas Tuchel already knows what kind of tactics to expect from Freiburg.
"They are one of the teams who run the most in the whole league," he said. "They are very hard working and tough to break down and this is going to be a game in which we are going to have to be fully focused."
Tuchel will be relying on forward Shinji Okazaki to provide his side's goals, saying the Japanese forward is "giving us a very, very good feeling" with his strike record, but Nicolai Muller is a doubt.
"Had we played today, he would not have been fit," said Tuchel on Thursday. "There's still a risk that he won't be able to play, but we haven't given up hope and we are considering what to do if he can't play."