"That's How Strong My Love Is" was written by a Memphis hospital worker named Roosevelt Jamison and was originally recorded by O.V. Wright on a small local label in 1964. The following year, Redding recorded the song and released it as single immediately before his first Top 40 hit, "I've Been Loving You Too Long (To Stop Now)."
Redding recorded this at Stax Records in Memphis with the studio's celebrated house band, Booker T & the MG's. The band was always happy to record with Redding. "Otis sessions were a lot of fun," their guitarist, Steve Cropper, told Songfacts. "He was the only artist I remember recording at Stax that the band could not wait for him to come back. And they never did that with anybody - it was work, it was a job, and that's what they did. We all had fun making music - we had a good time - but they could not wait for Otis to come back to record because we had so much fun."
The Rolling Stones, who were big fans of Redding and recorded many blues and soul covers in their early years, recorded this in 1965 and released it on their Out Of Our Heads album. Redding reciprocated by recording a version of The Stones "(I Can't Get No) Satisfaction."
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