Bryant is on the invite list, but the 29-year-old pass-catcher initially refused to make contact with the organization.
"I actually did talk with Mr Dorsey", he wrote on Twitter.
A couple of hours later, Bryant had reconsidered and tweeted his decision that he was "starting my visits next week", including with Cleveland.
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It appears, for now, the Browns will bring in wide receivers next week and it won't include Bryant unless he has a change of heart.
Bryant then playfully interacted with the fans on Twitter, including a response about his motivation to visit Cleveland first that indicated he was definitely paying attention to the Browns 20-10 win. Bryant just doesn't seem like he's in a rush to get there.
As for Bryant, the veteran emerged after Dorsey's comments to tweet: "I'm going to play. just whenever I get ready".
Bryant, who played his first seven seasons in the National Football League with the Cowboys, caught 69 passes for 838 yards and six touchdowns last season in Dallas.