Grossi tweeted the tidbit during a question-and-answer session Sunday morning.
"@browns1977 chance of a trade down combo w/ trade of sheard for a higher 2nd round pick maybe first?//I believe Sheard or Rubin are traded.— Tony Grossi (@TonyGrossi) April 14, 2013
Sheard, a 6'3, 264-pound defensive end, was the 37th pick in the 2011 NFL draft for the Browns. He has 15 1/2 sacks in two seasons, leading the Browns in sacks the past two years.
Rubin has played five years in the NFL, all with Cleveland, after a college career at Iowa State. The 6'2, 321-pound nose tackle started 13 games last season after starting each game for Cleveland from 2009 through 2011. He had 30 tackles, two sacks and two forced fumbles in 2012.