Heldigvis for Suede faldt valget på bandets eget navn istedet, for I Think You Stink var en af arbejdstitlerne i spil til debutalbummet, som udkom dags dato for 25 år siden. Det klassiske brun/gule cover er designet af Peter Barrett og Andrew Biscomb, der også stod for bandets tidlige meget markante, enkle og iøjnefaldende singlecovers. Mat Osman har siden retrospektivt sammenfattet debuten Suede således:

– London was a touchstone for everyone in the band, so the album became about us being placed in this city of sex, drugs and poverty after living in these suburban satellite towns. London is full of a certain kind of arts professional—people in bands whose parents bought them guitars when they were 12 and went to state school. The sense in all of us was that we wanted to get revenge on all that as the underclass outsider punks. We wanted Suede to be a pop record in the way that The Pretenders’ “Stop Your Sobbing” is a pop record.