Of the 12 settings put under review, four were considered for takeover by local schools.
The schools in question were unable to take control of the nurseries at Hawksworth Wood, Parklands and Quarry Mount, but discussions over the possible handing over of the Little Owls Nursery in Hunslet St Mary’s to St Mary’s CE Primary School are continuing.
The nurseries at Burley Park, City & Holbeck, Hunslet Rylestone, Osmandthorpe, Bramley and Meanwood will continue to operate under council management.
Parents have previously expressed concerns about the nurseries no longer being run by the council.
One parent, Jon Wood, told the BBC placing remaining nurseries into private ownership would be “absolute cultural vandalism”.
“We are fearful it is going to be some big chain that is just not going to provide the same level of care,” said Mr Wood, whose son has attended a Little Owls nursery for the past three years.
A spokesperson for the council said the “default position” throughout the review was to continue management in settings in the absence of satisfactory alternative providers.
The council said the review was now complete. However “operating efficiencies and optimisation of staffing capacity” may still be needed.
The spokesperson said “the new providers would enter into a 10-year lease with the council, bringing in a combined potential rental income for both sites of £72,000 per year”.
A fee increase of 5% is also expected to raise £78,000 per year.