The duo were stopped by policemen in the early hours for speeding and the club have excluded them from the matchday squad just a day before they face Bayer Leverkusen
The pair were stopped by policemen at around 02.00BST on the A1 Autobahn and the club have moved to discipline them ahead of their critical game against Bayer Leverkusen.
"We are deeply disappointed," sporting director Thomas Eichin said in a statement.
"We need the players to be 100 per cent professional to deal with the task at Werder. Anyone who is still travelling on the highway at 03.00CET two days before an important game cannot happen. We must send a clear message."
Coach Thomas Schaaf added: "We cannot tolerate unprofessional behaviour like that while we are preparing for our match against Leverkusen.
"We release them until we can sort this out."
A poor run of form has seen Bremen slip to 14th in the Bundesliga table, just five points ahead of the relegation playoff place.