Because significant trades in August are unusual, it is not expected at this point that either of them will be traded before Monday's waiver trade deadline.
Both Ramirez and Sandoval have disappointed after being signed to large free-agent contracts last winter, and are candidates to be traded this offseason as new president of baseball operations Dave Dombrowski re-works the Red Sox' roster.
Boston could be using these few days to hold preliminary talks about the two veterans in advance of the offseason, being able to gauge interest from other clubs now that both are eligible to be traded.
Boston made what is arguably the most notable waiver-wire deal of all time three years ago, when Josh Beckett, Adrian Gonzalez and Carl Crawford were traded to the Dodgers in a massive salary dump that sent Allen Webster, Rubby De La Rosa and other prospects to the Red Sox.
For a complete list of players who have cleared waivers and are eligible to be traded, check out our tracker.