EAST RUTHERFORD, N.J. -- Prince Amukmara is no longer wearing a protective boot on his right high ankle sprain and the swelling is down.

The cornerback hasn't been cleared to run or practice yet but Amukamara is hoping that comes soon. While he likely will not play against the Cowboys on Wednesday night, Amukamara will have another 10 days between the opener and the Giants' Week 2 game against Tampa Bay to recover.

"I am thinking Week 2 is more promising but I want Week 1 to be promising also," Amukamara said. "They haven't told me yes, they haven't told me no."

Amukamara suffered the high ankle sprain last Friday against Chicago. He says his ankle feels considerably better than it did even just three days ago.

"It feels a lot better than it did last week," Amukamara said. "Not a lot of swelling but the trainers said don't let that steer me the wrong way or confuse me because it is still pain.

"I haven't been able to run but walking is good and getting on my toes is good," he continued. "And I couldn't do that three days ago so I am just glad I am progressing."

Amukamara said the doctor has been impressed by how quickly he has improved but they still have to see how he reacts to practicing and running on a field.

Cornerback Jayron Hosley also has been making his way back from a turf toe injury and he said he likely will do individual work on Saturday.

"Right now I am feeling pretty confident that I will be ready," Hosley said of playing against the Cowboys.