According to Tony Pauline of DraftInsider.net, it sounds like it’s only matter of time before  Davone Bess is traded to the Browns for a mid-round pick. 

The Browns could use a reliable possession receiver, but a trade to Cleveland would not help his fantasy value. If this trade goes through Bess would continue to be an asset in deep ppr leagues and nothing else.
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Makes sense as speculated and reported earlier. At this point, I don't think Bess is more than a No. 3 option on most fantasy leagues. Only in deep PPR leagues is Bess a good option at this point.
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25 Apr , 11:28 AM Source
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FANTASY PLAYER VALUES

Name Team Value Draft
Yu Darvish Tex $ 12800
Matt Harvey NYM $ 11600
Max Scherzer Det $ 11400
Clayton Kershaw LAD $ 11200
Clay Buchholz Bos $ 11100

Name Team Value Trend
Cliff Lee Phi $ 21041
Yu Darvish Tex $ 20114
Max Scherzer Det $ 19737
Stephen Strasburg Was $ 19653
Anibal Sanchez Det $ 19580

Name Team Value Trend

Name Team Value Draft
Drew Brees Saints $ 19700
Matt Ryan Falcons $ 19550
Tom Brady Patriots $ 18700
Aaron Rodgers Packers $ 18300
Peyton Manning Broncos $ 18200

Name Team Value Draft
Clayton Kershaw LAD $ 30400.0
Jose Fernandez Mia $ 29600.0
Yu Darvish Tex $ 29500.0
Daisuke Matsuzaka Cle $ 29200.00
Chris Sale CWS $ 28100.0