Charlotte Wyatt, who is at the centre of a legal row over her treatment, remains in a stable condition, the hospital treating her said yesterday.
A spokeswoman at St Mary's Hospital in Portsmouth said the condition of the two-year-old is unchanged from last week when she was showing early signs of improvement.
Charlotte, who has been disabled since birth, has been fighting an "aggressive" viral lung infection which saw her deteriorate last month.
In February, a High Court judge ruled that doctors at the hospital could let her die.
Mr Justice Hedley heard an emergency application from the hospital and said Charlotte was now on a "downward rather than an upward trend".
The court decided in October that Charlotte should be kept alive using all means available after repeated legal hearings involving the hospital and Mr and Mrs Wyatt.
The couple, who were originally from Birmingham but now live in Portsmouth, have fought to have everything done to keep their daughter alive.
Charlotte was born three months prematurely with serious brain, lung and kidney damage.
The latest ruling means doctors can now decide not to resuscitate her, if they feel it would not be in her best interests.