T.R. Sullivan of MLB.com reports that the Rangers have been scouting the Cubs' infielders in recent days.
Darwin Barney went 0-for-3 as the Cubs fell to the Athletics 6-2 on Monday.
Darwin Barney will start at shortstop in Thursday's Cactus League game.
Cubs manager Rick Renteria said Thursday that Darwin Barney remains the team's starter at second base.
Cubs and 2B Darwin Barney avoided arbitration by agreeing to a one-year, $2.3 million contract.
Darwin Barney requested $2.8 million and was offered $1.8 million from the Cubs when arbitration figures were exchanged on Friday.
Bruce Levine of 670 The Score believes that the Yankees interest in Darwin Barney could increase now that the Royals have signed Omar Infante.
According to Carrie Muskat of MLB.com, the Cubs are likely to tender a contract to second baseman Darwin Barney before Monday's deadline.
Darwin Barney, Brandon Phillips and Mark Ellis have been named finalists for the National League Gold Glove at second base.
Darwin Barney is not in Tuesday's lineup against the Pirates.
Darwin Barney went 0-for-4 with two strikeouts as the Cubs' No. 2 hitter in Wednesday's loss.
Darwin Barney went 3-for-4 and hit his seventh homer Saturday against the Padres.
Darwin Barney went 3-for-4 with a home run and four RBI on Sunday night against the Cardinals.
Darwin Barney went 0-for-4 in the loss to the Cardinals on Friday.