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Epperson, 23, suffered several broken bones, including her ribs, her rep confirms to PEOPLE. The accident happened Tuesday evening, according to the rep.
"We are hoping for a speedy recovery and would like to thank all of her fans for their prayers and support," Epperson's rep says in a statement.
"Her family has asked that for everyone to please be considerate of her privacy during this time so that she may focus on her recovery."
According to TMZ, which first reported the crash, Epperson is still hospitalized in L.A.
Epperson made it into the top 24 on Idol's Season 7 in 2008. She had also been arrested in 2010 for allegedly assaulting a club-goer in Los Angeles, according to TMZ.