The album follows over two years since their previous full-length Forget the Night Ahead in September 2009, and the EP release The Wrong Car in September 2010. The band released a new song, the album's closing track "Kill It in the Morning", for free on their new website and SoundCloud page on 21 September 2011. The first proper single from the album, "Sick", was made available as a 7" vinyl single and digital download on 14 November 2011. The album's second single, "Another Bed", followed the album on 20 February 2012 as a limited edition, hand-stamped and numbered 7" single (limited to 200 copies) and digital download.
While on tour with Errors in October 2010, vocalist James Graham stated in an interview with blog Peenko that "the next [album] is not going to be anything like the first two. [...] The wall of sound is kinda gone. Andy [MacFarlane]'s demos involve a lot of keyboards, and it's a lot more considered." Additional musician Martin "Dok" Doherty also stated that "the band who make the same record over and over don't have a very long career... It's much stronger to make the record you want to make at the time than to try and pander to the people who already listen to your band." The band relocated to London to begin recording the new album in January 2011, where they received production help from Andrew Weatherall. In an interview with The Journal, Graham stated that Weatherall was initially slated to produce the album, but instead provided the band with assistance throughout the recording process and gave the band reassurance in their direction. The Twilight Sad also borrowed vintage analog synthesizers from producer Ben Hillier and Tape Studios in Edinburgh, which provide the core sounds on No One Can Ever Know.
In late January 2012, an exclusive interview with James Graham by webzineThis Is Fake DIY appeared online, with Graham providing details for each song on the album. Graham stated that the tracks "Dead City" and "Kill It in the Morning" came from the same demo sessions, which were the last tracks written for the album. "Sick", "Not Sleeping", "Don't Move", and "Don't Look at Me" were among the first songs written for the album, with the latter two acting as a two-part narrative. "Another Bed" was the very first song the band wrote, following the recording of previous album, Forget the Night Ahead. The song caused debate among the band, as it was initially intended to be a B-side. Graham elaborated, "Sometimes a song that you don't think will be on the album turns into something completely different when you record it in the studio... It's probably the closest thing we've ever had to a proper single, although this album is meant to be listened to as a whole and 'Another Bed' is a chapter in the overall theme of the record. It's strange how a song that wasn't going to be on the album is now a single, that's just the way things work out sometimes. I'm glad we decided to have it on the record."
Regarding the album's lyrical content, Graham noted, "It's definitely not a happy album, put it that way. [...] I mean, the themes of the record are kind of tied in with the title – so I’m not going to tell anyone what they’re about. I kind of wanted the whole thing to be a story."
No One Can Ever Know was met with positive reviews. In an early preview album review, online website The Blue Walrus noted comparisons to Manic Street Preachers' The Holy Bible and Nine Inch Nails' The Downward Spiral, and finalised that "Some people may think that they know what to expect with a new Twilight Sad record, but if you thought you knew this band, you're in for the shock of your life. This is going to turn heads come early February, make no mistake."Drowned in Sound praised the album as "a third consecutive triumph... one that's best appreciated with uneasy moonlight and sandpaper-on-brain loudness."Dusted magazine wrote in a similarly positive review, "The band that used to build shimmering, gorgeous, barely moving walls of tone is in a hurry to get on now, pushing post-punk style through dystopian, jittery landscapes of romantic disconnection."Crackle Feedback gave the album an 8 out of 10 rating, finalising that "Attempting to replace sledgehammer guitar noise with glacial synth is in no way detrimental to this album, it is a new and different approach which, whilst making no obvious attempt to develop on previous styles, adds to their canon an album which contrasts well with its predecessors and shows refreshing imagination." London based entertainment website London24 awarded the album four stars, and called the album "taut, sparse, ominous and occasionally threatening - in the best and most evocative sense."
The Skinny voted the album as the #9 best album of 2012. In an accompanying interview, James Graham stated that the band is turning its attention to recording their fourth album: "I really hope we can have something new out in 2013. No One Can Ever Know has opened the door to so many ideas and things we can do musically. I think it's going to be a big sounding album. Our fourth album will be very important in deciding the future of this band."
In November 2012, Fat Cat Records released No One Can Ever Know: The Remixes, a collection of remixes of songs from the album. The album features remixes from Liars, Com Truise, Tom Furse from The Horrors, and labelmates Breton.Allmusic reviewer Heather Phares praised the collection, saying "The Remixes is as well balanced as it is eclectic, finding room for tracks that clearly bear the stamp of their remixers, tracks that could fill a dancefloor, and tracks that push the limits of the Twilight Sad's sound even further. That the sequencing gives it a more satisfying flow than many similar sets is a nice bonus, and one that underscores how fitting it is that a collection like this from a band as searching as the Twilight Sad explores what remixes, and a remix album, can be."
Following the release of No One Can Ever Know: The Remixes, The Twilight Sad announced the release of the limited edition No One Can Ever Know: Tour EP (stylised as N/O/C/E/K Tour EP). The EP features a new song titled "Idiots" as well as alternate versions of tracks from the album, plus the B-sides "Untitled #67" and "A Million Ignorants". The EP was made available as a digital download included with all orders from the band's webstore, and also as a special handmade CD-R inside a custom-printed cardboard sleeve. The CD-R version was limited to 300 copies and was only available at the band's European shows.