The Red Sox apparently won’t take their foot off the gas pedal if they sign the most coveted player in MLB free agency.

Boston seems to be making some headway in the Juan Soto sweepstakes. A recent report claimed Soto’s decision will boil down the New York Mets and the Red Sox, who reportedly are instilling “fear” into the Yankees with their pursuit of the superstar outfielder.

The Red Sox have plenty of ways to appeal to Soto, including a big market, a robust prospect pool and a ballpark that suits his playing style. And according to NJ.com’s Randy Miller, Boston brass included another key selling point when it met with the four-time All-Star.

“I heard (Soto) was very impressed with the Red Sox and the Red Sox are telling Soto that they’re going to bring in a couple of extra players in addition to him,” Miller said Saturday on WFAN, as transcribed by MLB.com.

Those “extra players” potentially could include a frontline starting pitcher, as Boston appears hellbent on bolstering its rotation. The Red Sox also might be keen on adding a potent right-handed bat, perhaps in the form of star third baseman Alex Bregman.

Craig Breslow and company seem to have their hands in a few different buckets early this offseason, so Boston figures to be a much-improved ballclub once spring training rolls around.