The accident left lanes blocked in both directions, causing major delays in rush hour traffic south of Gothenburg.
One person was taken to hospital following the accident.
By 7.30am, emergency crews were able to reopen one of the lanes on the E6.
It remains unclear what caused the truck carrying Madonna's sound system to suddenly tip over across the median, or what effect it might have on Wednesday night's concert.
"It's too early to say anything about it," Kristofer Åkesson, a spokesperson for concert arranger Live Nation, told the TT news agency around 8.30am on Tuesday morning.
The concert, part of the “Madonna World Tour 2012", will be the pop-icon's first concert in Sweden since 2009.
Her latest studio album, “MDNA” was released on March 26th.
Åkesson refused, however, to divulge how many tickets had been sold for Madonna's Gothenburg performance.
"We never do that before a concert," he told TT.