Four years after the release of her most recent album “I Never Learn,” Swedish songstress Lykke Li dropped two new songs, “Deep End” and “Hard Rain.” The songs are the first tracks to emerge from her long-percolating fourth album “So Sad So Sexy”. The album is due on June 8 on RCA Records — Li’s first release with the label.

“Hard Rain,” which is being promoted as the single, was produced by 2016 Grammy producer of the year Jeff Bhasker, Malay and T-Minus. “Hard Rain” was produced by Vampire Weekend’s Rostam Batmanglij.

The songs mark a stylistic departure for the singer, incorporating elements of the Swedish-pop sound of her previous albums with a more hip-hop/alt-r&B-leaning production.

A rather confusing line in the press release announcing the songs reads “Prior to recording this album, Lykke was busy nurturing liv, her love-child with Andrew Wyatt, Björn Yttling, Pontus Winnberg and Jeff Bhasker,...