Palace announced plans in December for a new five-storey main stand at their home of 93 years, to increase the stadium capacity from 26,000 to more than 34,000.
Browsing: Selhurst Park
Mohamed Diame had given the Magpies a half-time lead, but Milivojevic made no mistake from the spot as both sides added a point to their efforts to remain in the top flight.
City were attempting to win their 20th league match of the season, but it was Palace that ultimately passed up the best opportunity to claim all three points as Luka Milivojevic missed a 91st-minute penalty for the home side.
The Nigeria international has been sidelined since suffering a hamstring injury during the 2-1 loss to Crystal Palace last month at Selhurst Park.