An entry in the Encyclopedia of Classic Rock describes the song as "forecast[ing] his career direction by crossing over onto Billboard's Adult Contemporary chart".[4]Stephen Thomas Erlewine of Allmusic wrote in a review of Against the Wind that "the record really starts to kick into high gear with 'You'll Accomp'ny Me,' a ballad the equal of anything on its two predecessors."[5] Jim Harrington of The Mercury News selected "You'll Accomp'ny Me" as one of Seger's 10 best songs and as his "best love song."[6]Billboard said that it "starts out as a melodic ballad and gains almost inspirational momentum" by the end.[7]Cash Box called it a "genteel mid-tempo romance," stating that "drum and woodblock set the rhythm, but piano and swelling organ provide the passion."[8]Record World predicted the single would reach the Top 10, saying that Seger's inimitable vocals are backed by gospel-like chorus colors."[9]
Country music artist Frankie Ballard covered the song for his 2016 album El Río, and it was released to country radio in February 2017.[14] The song charted at number 57, becoming Ballard's lowest-peaking single of his career.
French-Canadian Folk singer Anna McGarrigle wrote a French-language version of the song titled "Tu Vas M'Accompaneger". She performed it regularly at concerts during the 1980s,[15] and it was included on Kate and Anna McGarrigle's 1982 album Love Over and Over.[16]
Christine Albert included a version of the song where she altered between Bob Seger's original lyrics and Anna McGarrigle's French translation on her album Texafrance in 2008.[17]