Bowe has been inactive eight times and a healthy scratch seven times this season despite joining the Browns in March by signing a two-year, $12.5 million contract, which includes $9 million guaranteed. He has three catches for 31 yards.
Pryor made his NFL regular-season debut as a receiver last week in a 24-10 win over the San Francisco 49ers. He played 16 snaps but wasn't targeted.
Browns coach Mike Pettine and offensive coordinator John DeFilippo said Pryor would receive an expanded role in the aftermath of wide receiver Brian Hartline suffering a season-ending broken collarbone against the 49ers.