"I think she's very, very excited to see the family," Kathy Hilton, told PEOPLE .

"Paris is doing really well, she is really looking forward to going home, and she thanks you in the press who supported her," a family spokeswoman said afterwards. "She wants to be with the family and she can't wait to take that orange suit off."

The visitors said Paris pressed her hands against the glass in the visiting area, frustrated she couldn't hug her mother.

"She's sick of orange," says her mother. But, Kathy Hilton added, her daughter's "health is good. She looks ... like Paris."