Conner was initially listed as questionable to return.
The Steelers are "optimistic for a timely return" for Conner, who sustained a sprained ankle, a source told ESPN's Adam Schefter. He'll reportedly be re-examined Tuesday.
The 2018 Pro Bowler finished his first game of the season with just six carries for nine yards. He also caught two passes for eight yards.
The 25-year-old missed six games last season due to a shoulder injury.
A third-round pick in 2017, Conner posted a career year in 2018 after amassing 973 yards and 12 touchdowns on the ground while catching 55 passes for 497 yards and one score.
Second-year running back Benny Snell Jr. took over the Steelers' backfield in Conner's absence, amassing 113 rushing yards on 19 carries against the Giants.
Pittsburgh kicked off their 2020 season with a 26-16 win over New York.