Sterling Shepard is technically still in concussion protocol, but he participated in contact practice on Wednesday as he works his way back.
"It does (boost the optimism)," said head coach Pat Shurmur. "I think he's getting closer and closer. We have an extra day, certainly, because (Week 9's game against the Dallas Cowboys) is a Monday night, so again, we'll just see what the week brings."
He will likely see independent doctors later in the week, Shurmur told reporters.
"He's still in the protocol, but he's making good progress," Shurmur said of Sherpard. "So we'll just see what the week brings and we'll see if he's available for Monday. Same for (cornerback) Corey (Ballentine)."
Shepard wasn't ruled out of the Giants' Week 8 game against the Lions until late in the week, so there is a chance he will be cleared in time to face the Cowboys.
The 26-year-old Shepard has missed the last three games since suffering his second concussion of the season in Week 5 against the Vikings.
In four games this season, Shepard has 25 catches for 267 yards and one touchdown.
If Shepard is able to return for Monday night's game, the Giants will likely have their full slate of main offensive weapons for the first time all season: Shepard, Golden Tate, Darius Slayton, Evan Engram, and Saquon Barkley.