Watson, a three-times Pro Bowl selection, is expected to start Sunday's away game against his former team, the Houston Texans.
"He's done a nice jobs with his time away - physically staying sharp, mentally staying sharp - so I think he'll be ready to roll," Brown head coach Kevin Stefanski told reporters on Monday.
An independent disciplinary officer found that Watson violated league policy after more than 20 women came forward last year and filed lawsuits accusing him of sexual assault.
Watson denied the allegations and two Texas grand juries declined to indict him.
Cleveland also announced it has waived backup quarterback Joshua Dobbs (27).