Hamilton was scratched Tuesday from the second of the team's two intrasquad games because of the shoulder contusion, sustained when he dived for a ball during a pop-up drill on Feb. 25.
Rangers manager Ron Washington said there's no timetable for Hamilton's return.
"He'll let me know when," said Washington, whose team opens against the Kansas City Royals in the annual charity game Thursday.
Tuesday's intrasquad game between the regulars and reserves ended after four innings in a 4-4 tie.
David Murphy had an RBI double, scored a pair of runs and stole a base, and Vladimir Guerrero had an opposite-field RBI single for the regulars. Justin Smoak hit a two-run double off closer Frank Francisco in the first inning for the reserves.
Francisco recorded only one out in the shortened inning, striking out Taylor Teagarden after surrendering four consecutive base hits capped by Smoak's double.
"I thought he threw the ball well," Washington said. "It looked good leaving his hand. Guys just put it in play on him."
RHP Chris Ray was a late scratch with what was described as general soreness. He and fellow RHP Warner Madrigal, who also skipped the intrasquad games, will throw bullpen sessions Wednesday. Ray was 0-4 with a 7.27 ERA in 46 games last season. ... RHP Luis Mendoza, pitching for the reserves, threw a perfect inning.