Grandma, 91 with dementia, was admitted into the hospital Dec 31 for a torn hip. Can I do anything to convince them to not move her again?

She was transferred to a nursing home on January 8, she went from a 40% decline to now in nursing home 95% really really dramatically gone down hill. I met with the nursing home because she wasn’t progressing so they are discharging her on Monday the 27th . The nursing home where she’s at said they don’t have a bed available so she will be moved yet again. My grandma's health is going down hill. My question is can I do anything to convince them to not move her again? She’s not doing well at all sleeping all the time.