General manager Ruben Amaro Jr. says Lee was sore on Friday and the team wants to be cautious with the injury. Amaro says the team hopes Lee misses only a couple starts.
Lee threw 10 scoreless innings at San Francisco but got a no-decision. The Giants won 1-0 in 11 innings.
The lefty had been scheduled to pitch Monday night at Arizona. Right-hander Kyle Kendrick is now scheduled to make that start.
To take Lee's spot on the roster, the Phillies recalled lefty Joe Savery from Triple-A Lehigh Valley.