Wimmer, who missed both legs through injury, described the mood in the dressing room as one of shock and emptiness as the club came to terms with the result.
"The disbelief is written all over the faces of every fan and also us players. There is a great emptiness in the dressing room," Wimmer told Sky Germany.
"It will definitely take some time for all of this to sink in. Everyone knows for themselves what has just happened."
The decisive tie was heavily influenced early on when Joakim Maehle was sent off just 14 minutes into the match, leaving Wolfsburg with a difficult task for the rest of the night.
Despite the setback, Wimmer refused to single out his teammate for blame.
"He feels just as bad. He knows what happened probably shouldn't have happened. But I don't think the whole team should be ganging up on Joakim," he said.
"He's had a fantastic season since coming back from his shoulder injury and done a great job. He was maybe a bit unlucky today but generally you can see the whole team is lacking in energy."
Wimmer, 24, has been with Wolfsburg since 2022 and said the squad will need time to process a painful end to their Bundesliga campaign.