Critical reception of "My Truth" was generally positive in the Swedish press. According to "Aftonbladet", based on reviews by several newspapers when the album was released, it had an average score of 3.4 out of 5. Daniel Lindström of "Östersunds-Posten" praised it as the best Swedish soul album to date, singling out "Main Thing" as the album's best track. "Göteborgs-Posten" Patrik Lindgren praised the album's variety of musical styles, calling Robyn Sweden's top soul singer. Lindgren appreciated the album's not being fitted to the American market, which he found apparent with the lead single ("Electric"). According to "Länstidningen Östersund" Björn Bostrand, Robyn separated herself from other up-and-coming singers with "My Truth" by balancing maturity and youthful ambition. Bostrand praised the singer's vocal performance and the acoustic-pop songs "Not on the Inside" and "Monday Morning". Per Bjurman of "Aftonbladet" said that although "Robyn Is Here" lyrics were charming, "My Truth" demonstrated the singer's growth and maturity as a songwriter. Bjurman wrote that the album proved that Robyn was a full-fledged musician, and he called it one of the year's best Swedish albums.