New Jersey Transit is preparing to help commuters get around the Garden State during the storm, cross-honoring tickets on all public transit.
Extra staff will also be on duty to minimize delays and keep commuters informed of any schedule changes.
A winter storm warning remains in effect from Ocean County south, where 3 to 5 inches of snow are possible. A winter weather advisory is posted for central New Jersey, where 1 to 3 inches are predicted.
The areas that will be hit the hardest are along the Jersey shore and eastern Long Island.
Unofficial weather observers have reported 2 inches on the ground in Franklin Township in Gloucester County, 1 1/2 in in Hammonton and 1 inch in Cherry Hill.
But with dayside temperatures mostly hovering in the mid-30s, the greatest amounts of accumulation are expected to occur mostly on grassy areas and unpaved surfaces.
Authorities are urging residents to allow extra travel time on Monday. They say that depending on how the storm plays out, slushy and slippery conditions could exist on many roadways, especially side streets and rural roads.
(The Associated Press contributed to this report)