Most speculation leading to the July 31 deadline for nonwaiver trades will be on who the Rays could get to bolster their offense.

But they are more likely to trade away a player from their current big-league roster, specifically one of their top relievers, even if they remain in the playoff race, the Tampa Bay Times has learned.

RHP Brad Boxberger, who has 24 saves and an All-Star selection on his resume, is likely to be the most sought after, and thus have the highest price tag, given his contract status. Boxberger will get only a slight raise from his $521,400 salary next season before the big bump that comes with arbitration eligibility in 2017.

LHP Jake McGee also will be a popular subject of conversation, given his overpowering fastball and impressive work since returning from elbow surgery, including 20 straight scoreless outings and a 1.19 ERA. McGee is getting pricey by Rays standards, in line for a raise from $3.55 million to in excess of $5 million next season, though appealing to other teams since he is not eligible for free agency until 2018.