[9] The third and final single "Savage", was sent to top 40 radio formats on April 7, 2020, and has since become Megan Thee Stallion's first chart-topper in the United States, aided by a Beyoncé remix.

[10][11] Following the success of Megan's debut mixtape, Fever, and the Platinum-certified songs "Hot Girl Summer" featuring Nicki Minaj and Ty Dolla Sign and "Cash Shit" featuring DaBaby, in 2019, after her NPR Tiny Desk Concert, Megan revealed her debut studio album was in the works and set for release in 2020.

[15] In February 2020, Megan covered Rolling Stone, along with Normani and SZA, and revealed in an interview she was eyeing the release of the project to May (the month of her mother, Holly Thomas', birthday.

[20] It is described as a song where Megan "confronts an inept boyfriend who's ignoring her feelings" and received praise from Pitchfork due to the fact that "her trademark confidence complements the slinky retro beat".

[23] The single was promoted with a performance on The Tonight Show Starring Jimmy Fallon, where Megan sings and raps, dressed in a red belted body suit, alongside two backup dancers on a fog-filled stage.

[26] At the recommendation of the head of music partnerships at TikTok, the record label shifted focus from "Captain Hook" to "Savage" and the song was later released as the EP's third single.

"[37] The Line of Best Fit rated the set 9 out of 10 and praised the "nostalgia, melancholy and faith, counterbalancing Megan's overall ethos of optimistic self-empowerment".

[32] Pitchfork scored the EP 7 out of 10, with Mankaprr Conteh saying that "Megan occasionally struggles to package new truths about her social status in the whip-smart ways she did her old ones", but "at only 24 minutes long, Suga avoids the bloating that plagued Fever, and a good-not-great song like "Rich" is over too quickly to complain much".

[33] Conteh concluded, "Suga may not be remembered as a keystone in Megan Thee Stallion's catalog, but it's a fine portrait of an artist embracing her full self as her world changes drastically."

Rolling Stone gave the EP 4 out of 5 stars, and stated "On Suga she sounds warm and vulnerable, unsure how to carry on without her mama to guide her, but determined to do her proud.

[38] Concluding the review for AllMusic, Fred Thomas stated that "Suga finds Megan Thee Stallion experiencing the growing pains of success.