The Rangers signed Webb to a one-year contract Wednesday, Robert Murray of FanSided.com reports.

The Orioles non-tendered Webb on Friday, Andy Kostka of TheBaltimoreBanner.com reports.

Webb (2-5) allowed two hits and struck out one over 1.1 scoreless innings to earn the win over the Yankees on Wednesday.

The Orioles reinstated Webb (elbow) from the 15-day injured list Sunday.

Webb (elbow) is scheduled to begin a rehab assignment with Triple-A Norfolk on Sunday, Matt Weyrich of The Baltimore Sun reports.

Webb (elbow) played catch Saturday, Jacob Calvin Meyer of The Baltimore Sun reports.

Testing on Webb's right elbow showed no structural damage Saturday, and his stay on the injured list is expected to be short, Andy Kostka of TheBaltimoreBanner.com reports.

The Orioles placed Webb on the 15-day injured list Wednesday with right elbow inflammation.

Webb (1-4) allowed two runs (one earned) on one hit and one walk while striking out one over one inning to take the extra-innings loss versus the Phillies.

Webb (1-3) walked one and struck out one over 2.1 scoreless and hitless innings to earn the win over the Rays on Saturday.