Due to premiere on Thursday on country music TV channel CMT and CMT.com, the video was recorded in August for the 35th anniversary of Elvis Presley's death.
It was only intended to be viewed by the 25,000 fans at the special anniversary concert in Memphis on August 16, but the response from fans convinced her to let the video play far and wide, CMT said in a press statement on Monday.
Lisa Marie's latest album, "Storm and Grace," released in May, saw her embracing her Americana roots while her lyrics address her efforts to find her place in the world as the King's only daughter.
Presley, who died at the age of 42, recorded "I Love You Because" in July 1954 at Sun Studio in Memphis, the same time he recorded "That's All Right."
Producer Sam Phillips deemed it unsuitable for Presley's first single, and it ended up on Presley's first album, from 1956, never to be performed by Presley again, according to CMT.
Lisa Marie Presley, 44, recorded her vocals to the song in August at the suggestion of producer T-Bone Burnett, as a special song for fans.
The video features family photos of Presley's 4-year-old twin girls, Finley and Harper, as well as her son, Benjamin, and daughter, Riley, along with Lisa Marie and Elvis.
"We were really moved when we saw this video," said CMT's senior vice president of music strategy, Leslie Fram.
"Lisa Marie and her team were thrilled and so gracious to allow this to be shared," Fram added.
The single will be available for purchase digitally on Tuesday, and the full video on iTunes on October 25.
Presley also announced a November tour, culminating in an appearance at New York's Carnegie Hall on November 17.
(Reporting by Chris Michaud in New York; editing by Jill Serjeant and Matthew Lewis)
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