Saints safety Darren Sharper, who was with Shockey in the New Orleans' weight room when it happened, says that Shockey is "doing fine."
Sharper was seen at Ochsner Hospital where Shockey is being treated. Sharper says the seizure lasted about a minute and was "scary."
Sharper says that Shockey told him that he "just felt light headed" and was able to walk on his own to an ambulance.
Shockey participated in the team's morning practice and during interview sessions.
It was unclear how long Shockey would remain hospitalized.
One player told NewOrleans.com, which first reported the incident, that Shockey was shaking and "he was basically out of it for probably a minute or so, but it seemed longer." The player said Shockey seemed aware after that and was walking around when he left for the hospital.
Also at the Saints' OTA, the team said that cornerback Malcolm Jenkins is working out at free safety.
"We'll move him around," said Saints head coach Sean Payton. "He's working at free. He's a guy that has good versatility. He can come down and play in the box. He can play in the safety position, in the nickel packages. Gregg [Williams, the team's defensive coordinator] and those guys will do a great job of utilizing his skill set, but he's doing well and working primarily at free safety."