Shurmur's comments come after the Giants lost 28-14 to the Buffalo Bills on Sunday, dropping to 0-2 to start the campaign.
The Giants selected Jones with the sixth overall pick in the 2019 NFL Draft, seemingly with a plan to make him their franchise quarterback once the club moves on from Eli Manning.
However, the G-Men aren't ready to sit the two-time Super Bowl MVP who has recorded 556 passing yards, two picks, and two touchdowns through two games. Manning is also completing 60.3% of his pass attempts with an 84.1 passer rating.
The Giants head to Tampa Bay in Week 3, presumably with Manning still under center.