Jones has not been cleared for contact after suffering a neck strain during last week's win over the Philadelphia Eagles. Jones was believed to be injured while running the football on the second play, but he had said there wasn't really soreness until after the game.
He was moving and throwing well at practice as a limited noncontact participant throughout the week.
"At this point, he has not been cleared for contact, so we're going to go ahead and hold him out of this game," Judge said. "At this point, we don't feel 100% comfortable with him until the medical team clears him fully, so as of right now, we will rule him out."
"Thought there would be a chance all week," Glennon said.
Jones didn't take many, if any, first-team reps at Thursday's practice, sources told ESPN. So the Giants have been preparing for this outcome.
He is expected to be reexamined Monday. Jones will make the trip with the Giants to Miami and then to Arizona, where they will practice next week leading into a matchup the following Sunday with the Los Angeles Chargers.
Judge has said that the third-year quarterback is not expected to be out for the season "at this time." He reiterated Friday that remains true, even though uncertainty exists.
"We will evaluate him for the future, including as soon next week, with the doctors," Judge said. "We don't have any answers as of yet [when he will be cleared]."
The Giants (4-7) are still searching for answers about what they have in Jones three years into his career. This stretch run was supposed to provide more clarity after they fired offensive coordinator Jason Garrett last week and some of their top playmakers got healthier.
Instead, the Giants are in sit-and-wait mode with their quarterback and some of his playmakers. Wide receivers Kadarius Toney (quad/oblique) and Sterling Shepard (quad) are listed as doubtful. Wide receiver John Ross (illness/quad) and tight end Kyle Rudolph (ankle) are among those listed as questionable.
"There really is gray area in what [the timetable] is [for Jones]. There is really no final decision on that," Judge said. "Obviously, at this point, we'll push and get him on the field as soon as he's healthy and ready to go. He wants to be on the field as well. He just wasn't cleared for contact today.
"In terms of what it's going to look like in immediate weeks coming up, future weeks down the stretch, there are no answers right now. Everything else would be hypothetical or guesses right now."
This is the third straight season that Jones has been forced to miss a game late in the season. He missed time because of high ankle sprain as a rookie and for a hamstring injury in 2020.
Jones, 24, has completed 64.3% of his passes for 2,428 yards with 10 touchdowns and seven interceptions this season. He also has rushed for 298 yards and two touchdowns.
Glennon, 31, went 16-of-25 passing for 196 yards with a touchdown and two interceptions while playing in a blowout loss to the Dallas Cowboys on Oct. 10.