Around the Empire: Yankees news - 6/6/21

David Dermer-USA TODAY Sports MLB Trade Rumors | Mark Polishuk: Desperate for offensive production at the first base position, the Yankees selected the contract of Chris Gittens and added him to the 40-man roster prior to last night’s game against the Boston Red Sox. Gittens, a twelfth-round pick in the 2014 MLB Draft, has posted a .283/.486/.585 slash line in 74 plate appearances. To make room for him on the roster, the Yankees demoted Nick Nelson and transferred Corey Kluber to the 60-day injured list.

Sports Illustrated | Pat Ragazzo: Speaking of Kluber, the injured right-hander has received a green light from doctors to begin a throwing program, having a catch at Yankee Stadium on Friday…