After 12 years in opposition, Labor quickly gathered steam on election day last weekend, roaring into power.
However, it has remained steady on 45 seats in the past week as postal votes continued to roll in and electorates such as Goulburn and Kiama fell by the way to the Liberals and independents.
About 75 per cent of the vote has been counted in the remaining three seats.
In Ryde, Labor candidate Lyndal Howison, who attracted Prime Minister Anthony Albanese's support on March 25, leads by a slim margin of some 235 votes.
Labor is quietly confident Ms Howison will clinch the seat with 5000 postal votes still to come.
If she wins, the party will still fall one seat short of a majority government.
While Liberal Adam Crouch leads the count in Terrigal by about 240 votes, 31-year-old Labor candidate Sam Boughton is still in with a chance of making up an almost 12 per cent swing.
ABC election analyst Antony Green said about 4000 postal votes would be counted on Saturday and were expected to give the Liberal candidate the advantage.
In the southwestern Sydney seat of Holsworthy, where former premier Dominic Perrottet strategically chose to launch his campaign, Tina Ayyad hopes 2000 postal votes will help her retain the seat for the Liberals.
Ms Ayyad has strong roots in the electorate, serving as a Liverpool councillor for years, while her husband Ned Mannoun is the Liverpool mayor.
But outstanding absent votes could boost Labor candidate Mick Maroney's chances of winning if the postal votes broke even, Mr Green said.
The prospect of a minority government has not stopped NSW Premier Chris Minns from getting down to business.
"We were elected on a mandate and we have a mission and it's to rebuild essential services in NSW," he told his caucus at its first meeting in parliament on Friday.
Mr Minns said the priority was "our schools and our hospitals and a rock solid commitment against the privatisation of our essential assets and we're not going to change now that we're in government".
