The TV personality’s daughter Melissa released a statement, telling fans: "Thank you for your continued love and support. We are keeping our fingers crossed."
Melissa and the rest of Joan’s family are hopeful that the 81-year-old will make a full recovery after she stopped breathing during surgery on her throat.
"My mother would be so touched by the tributes and prayers that we have received from around the world," Melissa says.
"Her condition remains serious but she is receiving the best treatment and care possible. We ask that you continue to keep her in your thoughts as we pray for her recovery."
JOAN RIVERS: FAMILY FACE DECISION TO TURN OFF LIFE SUPPORT MACHINE
According to sources, family have been told they may have to consider turning off Joan’s live support machine of her condition doesn’t improve.
JOAN RIVERS 'IN CRITICAL CONDITION' FOLLOWING THROAT SURGERY
An insider says that the Fashion Police host would not want to live unless she could enjoy “a full and active life ... (she) would never want to be a burden on anyone.”
Stars such as Charlie Sheen and Courtney Love have taken to Twitter to share their support for the popular comic.