Roch Parisien from
AllMusic described the song as "hook-filled mainstream pop". Upon the release,
Larry Flick from
Billboard magazine wrote, "
Hawkins proves to be a star-in-the-making, delivering a charming vocal over a hypnotic, rock/
hip-hop beat. Contagious, sing-along
chorus renders tune an unlikely anthem, but one that deserves every bit of airplay it gets." Clark and DeVaney from
Cash Box felt the singer-songwriter "has a sexy, breathy and slightly vulnerable sound". Stephanie Zacharek from
Entertainment Weekly remarked that in the "killer single" "Damn I Wish I Was Your Lover", "Hawkins says those words as insouciantly as if she’d just broken a nail. But she still lets you know they mean a hell of a lot more to her than that." Dave Sholin from the
Gavin Report stated, "When 1992 is done and gone, we'll likely remember the debut of this singer/songwriter from New York City's
Upper West Side as one of the year's musical highlights." He added, "It's not often when programmer consensus is this strong on a new song by an unknown artist, but in this case, it's totally justified. It's one of those that is instantly obvious seconds after it starts." Pan-European magazine
Music & Media said, "Listen to the extremely strong chorus to this pop song, and you'll understand why." Alan Jones from
Music Week named it Pick of the Week, writing, "
Brooklyn babe's self-penned multi-textured and multi-format debut is a compelling confection. Soulfully shuffling and coyly chiming, it's armed with a killer hook, and knows it. A curious early fade threatens, before Sophie builds it up again." A reviewer from
People Magazine noted, "When a record opens with a song called 'Damn I Wish I Was Your Lover', you realize immediately you're not dealing with some delicate flower. Hawkins knows what she wants, and she knows how to get it." In a retrospective review, Pop Rescue stated that "this is a wonderfully breathy song which builds well in the chorus and adds more instruments into the second verse." Jonathan Bernstein from
Spin wrote, "Not only was her lubricious lament, 'Damn I Wish I Was Your Lover', the year's stand-alone Great White Pop Single, but it neatly supplanted '
I'm Too Sexy' as the phrase on the nation's lips." ==Music video==