PHOTO: Jennifer Hudson Films New Music Video
01/29/2009 AT 02:50 PM EST
Hudson is shooting the video, which is expected to debut the week of Feb. 9, in Los Angeles.
The song comes from the singer's self-titled album, which garnered her four Grammy nominations, including best R&B album.
Hudson has previously announced that she will perform at the Grammy Awards. (The show will be broadcast from the Staples Center in Los Angeles on Feb. 8, at 8 p.m. on CBS.)
First, though, she is scheduled to sing National Anthem at Sunday's Super Bowl, marking her first public performance since her mother, brother and nephew were killed in October.
"So much has happened but she's ready [to perform again]," a source tells PEOPLE. "It's a new year, she's excited about performing. She knew it was time."
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