Nicks is considered day to day with a hamstring injury.
"We'll see," Coughlin said about Nicks. "It is going to be day to day. He tells me he is better, says all the right things but he is not going to work today."
Bradshaw's right foot is swollen and sore. The running back left Sunday's win over the Dolphins briefly due to the foot injury before returning. He says the injury is the result of a screw that was surgically placed in the foot two years ago.
In the past, Bradshaw has been able to play on Sundays despite missing practice time during the week due to foot injuries.
Defensive end Osi Umenyiora also is dealing with a shoulder issue which Coughlin described as "manageable." Umenyiora rode a bike instead of practicing, but the head coach said that is due to his normal routine of resting during the week.
"He fell," Coughlin said of the shoulder injury. "All I know is he got a sore shoulder. He seemed to think that it would be manageable."
Wide receiver Mario Manningham was not on the field either, but his absence was just due to sickness.
Center David Baas also did not practice after injuring his knee against Miami.
Offensive lineman Stacy Andrews (back) also was not on the field as well.
Amukamara has yet to play this season due to a broken foot suffered in his second practice of training camp and Barden has been on the physically unable to perform list after breaking his ankle last year.
Barden could be activated sometime in the next two weeks.
"He is going to get pushed a little harder this week," Coughlin said. "He practiced probably about 50 percent of the time last week. We will see if he can continue, along with Prince. Prince will get a little bit more this week."
Ohm Youngmisuk covers the Giants for ESPNNewYork.com.