Ramirez will be back with Triple-A Round Rock when the Express resume their Pacific Coast League schedule Thursday at home after a three-day All-Star break.
Ramirez also will be in Round Rock on Friday when the Rangers return from their All-Star break to play the Baltimore Orioles, sources said.
Rangers manager Ron Washington said Tuesday on his weekly radio show on ESPN Dallas 103.3 FM that there is no rush to bring Ramirez to the majors.
"We're just going to let it play itself out," Washington said. "The more at-bats he gets, the better."
On Monday, Rangers CEO Nolan Ryan said during his radio appearance on "Fitzsimmons and Durrett" that Ramirez could be an option after the All-Star break and that the Rangers, who are looking for a right-handed bat, would "have to take him into consideration."
Ryan, in attendance at Monday's Round Rock-Oklahoma City game at Dell Diamond, said he didn't see anything that makes him think Ramirez can't still hit.
Ramirez is 6-for-14 with two home runs in his last three games and is batting .300 through eight games.