Sources in Florida were reporting Thursday night that the Cincinnati Bengals have agreed to terms with former Tampa Bay and Cleveland quarterback Josh Johnson, who is expected to officially sign today.

The Bengals have been searching for a backup quarterback to Andy Dalton since Bruce Gradkowski signed with Pittsburgh last week. The team still may go after a rookie quarterback in the draft, but Johnson will give them the veteran presence they had with Gradkowski the last two seasons.

Johnson was a fifth-round pick of the Buccaneers in 2008. He started four games in 2009 before losing the job to rookie Josh Freeman.

Johnson spent 2012 with the Browns but did not throw a pass. He is 96 of 177 for 1,042 yards in his career, with five touchdowns and 10 interceptions.

The Bengals also have Zac Robinson on the roster. Robinson was a seventh-round pick of the New England Patriots in 2010 and has spend the last two seasons on Cincinnati’s practice squad.