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11:27 AM PT -- Kim just revealed she was the one who shared the good news with Alice, saying, "The phone call I just had with Alice will forever be one of my best memories. Telling her for the first time and hearing her screams while crying together is a moment I will never forget."

Her attorney, Shawn Holley, added, "I just got off the most wonderful, emotional and amazing phone call with Alice, Kim and Alice's lawyers ... It was a moment I will never forget."

10:24 AM PT-- KKW just released a statement, saying, "I’m so grateful to President Trump, Jared Kushner and to everyone who has showed compassion and contributed countless hours to this important moment for Ms. Alice Marie Johnson. Her commutation and forthcoming release is inspirational and gives hope to so many others who are also deserving of a second chance."

She continues, "I hope to continue this important work by working together with organizations who have been fighting this fight for much longer than I have and deserve the recognition."

Kim Kardashian West's fight to free imprisoned grandmother Alice Marie Johnson is over -- President Trump has granted her clemency ... TMZ has learned.

Our sources tell us the Prez signed off on Wednesday, and Alice will soon be released from the Aliceville Correctional Facility in Alabama. We're told she's heading straight home to be with her family.

As we reported ... KKW met with Trump last week at the White House to talk prison reform and about Alice's case. She and her attorney, Shawn Holley, were working with Ivanka Trump and Jared Kushner for several months on Johnson's case.

Kanye's recent public support of Trump probably had some influence on 45's decision, as well.

The 63-year-old grandma's case became national news last year when Kim tweeted about it -- she was sentenced to life in prison without parole in 1997 on money laundering and drug conspiracy charges ... her first offenses.