"There seem to be plans to do something to mark this anniversary in some way. But I can't say at this point what will come of them," she said in the interview.
Sky News noted that ABBA was one of the few major global hit-makers not to have reunited. Their last album The Visitors hit the charts in 1982.
Faltskog and Ulvaeus, and Andersson and Lyngstad were both married couples, and both subsequently divorced -- although the band that never formally broke up.
The group's "Waterloo" won the Eurovision Song Contest in Brighton, England in April 1974 and immediately became a global phenomenon.
The band sold more than 380 million records worldwide and were inducted into the Rock and Roll Hall of Fame in 2010.
ABBA posted an unprecedented string of worldwide number one hits such as "Mamma Mia", "Dancing Queen" and "Super Trouper."
Since 1982, Faltskog and Lyngstad pursued solo careers and Andersson and Ulvaeus wrote a hit musical Chess and reworked 24 ABBA hits into the musical Mamma Mia, which went on to be made into a box office smash hit film starring Meryl Streep and Pierce Brosnan.
Despite intense pressure to regroup, all four members have persistently ruled out doing so in the past.
In July 2008, the four members did reunite for the Swedish premiere of the movie "Mamma Mia," marking only the second time all of them had appeared together in public since 1986.
At the time, Ulvaeus and Andersson disappointed a generation by declaring there was "simply no motivation to regroup."
"We would like people to remember us as we were, young, exuberant and full of ambition," Ulvaeus said.
In her interview with Welt am Sonntag, Faltskog -- who recently released a new solo album -- said she did not want to spend too much time pondering whether a reunion should take place or not.
"That eats up too much energy. Don't just think about it, just do it," she said.
And she warned that time was running out.
"We're all getting older. I can't imagine going onto the stage on walking sticks," Faltskog said.
- This article first appeared on THR.com