The Grammys Will Go On: A Death in the Family will chronicle how awards show producers and performers dealt with Houston's death just 24 hours before the Grammys in 2012.
Swift, Springsteen, Katy Perry, Bonnie Raitt, Dave Grohl, Joe Walsh, LL Cool J, Jennifer Hudson and other musicians are to offer thoughts on how they coped with Houston's shocking death at the age of 48.
The programme will also delve into how Grammys organizers scrambled to arrange a tribute performance to Houston the next night, with Hudson ultimately being chosen to perform 'I Will Always Love You'.
Houston was found dead at the Beverly Hilton Hotel on February 11, 2012. An inquest later ruled her passing as accidental, but pointed to cocaine and heart disease as contributing factors.
The legendary singer has sold more than 200 million albums worldwide.
CBS airs The Grammys Will Go On: A Death in the Family on Saturday, February 9 at 9/8c.
The 55th annual Grammy Awards will be held the following night from the Staples Centre in Los Angeles.
Watch Jennifer Hudson's Grammys tribute to Whitney Houston below: