increase font size Red Sox have rare chance to pick an elite prospect in MLB draft For the first time in more than five decades, Boston will draft as high as No. 4 in the amateur draft starting on Sunday. Share Vanderbilt pitcher Kumar Rocker was once considered the top prospect in the 2021 Major League Baseball draft, but concerns over a drop in his velocity could make him available when the Boston Red Sox select at No. 4 on Sunday. Rebecca S. Gratz/Associated Press The 2021 Major League Baseball draft position for the Boston Red Sox is bittersweet – from the horrors of one experience come the spoils.