McCarthy's lawyer Melinda Thompson requested the bail because a medical report has changed the circumstances of the case since the woman was first jailed and casts doubt on whether she's guilty.
A recent medical report showed that the child sustained bone fractures three to four weeks before her death when she wasn't in the care of McCarthy, MassLive.com reported.
Prosecutors said McCarthy shouldn't be released from jail because she would be deported if released on bail.
Judge S. Jane Haggert set a trial status hearing for Feb. 21.
Notable deaths of 2014 [PHOTOS]