Wright had re-joined the Bucs after a season in New England in which he caught 26 passes and six touchdowns. Now, he will join a crowded tight end field in Detroit, where Joseph Fauria, Eric Ebron and Brandon Pettigrew are in the mix.
Reed took part in basic passing drills, according to The Washington Post.
"I'm fine," he said, per ESPN.com. "It was just something that they wanted to look out for me a little bit. It was something that started nagging, so they decided it would be best to pull me out.
"I don't want to get much into all of that. You can ask [coach] Rex [Ryan]. I don't want to get too much into injury talk. But I'm 100 percent fine, so I'm not worried though."
Washington dealt away a fifth-round pick to obtain Carrier.
Cleveland appeared in six games as a rookie in 2014. He did not record a catch.
Devey, who was an undrafted free agent in 2013, appeared in seven games last season for New England. He made four starts.
Pitta has been limited to just seven games over the last two seasons after twice dislocating his hip.
The Cardinals finalized a one-year contract with Johnson on Monday. Arizona signed Greshman to a one-year deal in late July.
Steven Shin, who is director of hand surgery at Kerlan-Jobe Orthopedic Clinic in Los Angeles, said playing in the opener is a realistic goal, especially since Thomas' injury is below the bottom knuckle and should speed up his recovery.
“The blood supply to that area of the hand is pretty good and the bone in that area tends to heal very quickly,” Shin said.
Shin also believes Thomas won't have to wear any heavy protection on his hand once he returns.
“By that point, hopefully he’ll be able to not have to wear anything but the soft padding,” Shin said. “If he were to have to wear a hard cast across the knuckle joint, that would be very difficult for him to have any flexibility and catch passes.”
Smith who signed with the Saints last week, has just three catches over the last two seasons.