"I'm rooting like crazy for Tim Couch," Kidd said Monday. "I'm glad he's back in the league, that's for sure."
Kidd, now an NFL analyst for ESPN.com, said Couch needs to pick up on the offense in a short amount of time and perform well in the preseason to assure Jacksonville on its short-term investment.
"I think it's a great pick up for Jacksonville," he said.
Kidd said it's "hard to predict" what impact the ex-Kentucky star may have if he makes the team, but said it all depends on the transition.
"It will be a transition for him, because he's been out of the league for so long," Kidd said.
"The big thing is his shoulder and elbow. It's going to be an uphill battle for him, but if anyone can do it, he can. He has to stay healthy."
Couch was drafted as the top selection in the 1999 NFL Draft and led the Browns to a 9-7 record and threw for 3,000 yards in 2002. In the final game of the season, Couch suffered a broken leg and was released by the team in 2004.
Couch tore a rotator cuff in 2004 while with the Green Bay Packers and hasn't played in the league since. Kidd said Couch has had a successful rehabilitation.
"From what I understand, he's in the best shape of his life," he said.
Couch worked out with the Jaguars on Friday and reached a deal with the team after passing a physical.
Kidd was part of the Browns' front office when the team drafted Couch eight years ago and said looking back, the Browns should have brought Couch along slowly instead of taking over as the team's starter in the second game of his professional career.
Kidd said the team took a chance "too early," instead of taking the longer route.
"It was no fault of Chris (Palmer) or Tim," he said. "He didn't have enough support. He played for three different coordinators in three years."
Kidd spent eight seasons with the Arizona Cardinals, followed by a three-year stint with the Browns and worked with the New England Patriots, winning a Super Bowl in 2003-04.