The 25-year-old, who is 6ft 9ins tall, joined the Minstermen from Tranmere Rovers on a two-year deal in May, but has only made five appearances.
Mooney's first stint in professional football in England was at Wycombe and he spent time at Conference North side Oxford City before joining Tranmere.
He is available for Alfreton's game against Welling United on Saturday.
Alfreton Town have signed goalkeeper Jason Mooney on loan from League Two side York for the rest of the season.