The Rangers would also be getting left-handed reliever Jake Diekman in trade for top catching prospect Jorge Alfaro, minor league outfielder Nick Williams and minor league right-hander Alec Asher, sources told ESPN's Jim Bowden.
The Phillies had told several teams interested in acquiring Hamels that they'd like to get their "best" offers by Wednesday, sources previously told ESPN.
However, sources said that in the case of about half of that group, the Phillies had initiated those talks in an attempt to reopen discussion about players whom those clubs had said previously they'd be unwilling to trade.
Hamels' next start was scheduled for Thursday against the Braves, the night before the deadline, but that is being pushed back one day until after Friday's 4 p.m. trade deadline has passed.
Hamels threw a season-high 129 pitches in Sunday's no-hitter over the Cubs at Wrigley Field. He is 6-7 with a 3.64 ERA in 20 starts.
Information from The Associated Press was used in this report.