The team will resume practice Thursday for Monday night's game against the Saints in New Orleans. The Eagles are off Wednesday and Reid and Vick are not scheduled to address the media again until Thursday.
Vick, the four-time Pro Bowl quarterback, has struggled this season and Philadelphia (3-4) has lost three straight.
Reid didn't endorse Vick after Sunday's 30-17 loss to Atlanta, saying he was going to evaluate all of his starters. Vick said after the game he would support whatever decision Reid made.
That led to speculation Vick's days were numbered. But for now, Reid is sticking with Vick over unproven rookie Nick Foles.
Reid has changed his mind on his starting quarterbacks in a 24-hour period before, reversing his call on Kevin Kolb and replacing him with Vick in 2010. It's unlikely he would do it again, however, and give Foles his first NFL snap on the road against New Orleans (2-5) in a Monday night game.
Foles, a third-round pick out of Arizona, had an outstanding preseason. However, he did so playing against backups, third-stringers and players who didn't make a roster. Foles impressed coaches and teammates, and fans have been calling since Week 1 for him to start.
Vick led Philadelphia to comeback wins with go-ahead touchdowns on the final drive in the first two games of the season. But he's been inconsistent and turnover-prone overall. Vick has just a 78.6 passer rating, his lowest since joining the Eagles in 2009. He's coming off a rare turnover-free performance after throwing eight interceptions and losing five fumbles in the first six games.
Information from ESPN.com's John Clayton and The Associated Press was used in this report.