The indie band are presently performing a series of 'Memories' shows, which see them playing either 'The Blue Album' or 'Pinkerton' live in their entirety, and Rivers said performing the latter, in particular, has been an incredible experience.
He told MTV news: "It's an emotional, cathartic experience. The last time we played all of those songs from 'Pinkerton', they went over like a lead balloon. And I just remember that feeling of just total rejection.
"And then to see 5,500 people singing along to every last word through every song on the album, even the really difficult ones, was incredibly validating for me."
Upon its release in 1996, 'Pinkerton' was met with negative reviews from critics and didn't sell as well as the band's debut, 'The Blue Album'.
Rivers later rejected it, saying although a deeply personal record, it was a "hugely painful mistake", however, with time it has become the band's most celebrated work, and its reissue met with a much warmer critical reception.
Rivers added he had goosebumps the whole way through the opening night of the band's tour, when he saw how the crowd responded to the songs.
He also said he hopes the shows can continue, adding: "I'm sure Weezer will just keep touring, and I have a feeling that some of those shows will be these Memories shows, Blue and Pinkerton, and some of the shows will be more like greatest hits, depending on the show."