"It's a possibility; we'll see where that is [with Gostkowski]," Belichick said.
Belichick said the team is still waiting for more information on the condition of Gostkowski, who suffered tightness in his upper right leg during pregame warmups Sunday at Cleveland and ultimately left the game in the second quarter. Comcast SportsNet reported that, according to an unnamed source, Gostkowski is likely to miss a couple of weeks.
Receiver Wes Welker kicked a successful point-after attempt in the fourth quarter and also made the ensuing kickoff.
Last month, the Patriots had veterans Shayne Graham and Shaun Suisham in for workouts as part of keeping their emergency lists fresh. One factor to consider is that the Detroit Lions, with kicker Jason Hanson injured in Sunday's loss to the Jets, are also looking for a fill-in.
In his 11 years as coach, Belichick has never had to have his team sign a kicker during the season because of injury.
Mike Reiss covers the Patriots for ESPNBoston.com.