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The Giants already have a five-man rotation penciled for 2015, but they'd still like to add a proven arm to the staff.
Currently, that rotation consists of Madison Bumgarner, Matt Cain, Tim Hudson, Tim Lincecum and Yusmeiro Petit.
Vice president and assistant GM Bobby Evans called starting pitching "an important need" on KNBR 680 Thursday morning.
"It would lessen our burden on Petit going into spring training as the fifth starter," Evans explained. "It'd also lesson the burden on our farm system, and give our guys a little more time to develop, which we think is best for them.
"You can always get by without (adding a starter), but we obviously want to have a team that we can break camp with that we think gives a chance to get back (to the World Series)."
Petit was one of six arbitration-eligible players the Giants tendered contracts to last week, though they have yet to reach an agreement on a 2015 salary.
The Giants have plenty of options to augment the starting staff, including a pair of their own free agent starting pitchers in Jake Peavy and Ryan Vogelsong.
"Peavy and Vogelsong are both on the market and they're both guys we're staying in touch with," Evans said. "They're aware of what were trying to do."
The Giants last week traveled to Atlanta to court free agent lefty Jon Lester, and Evans confirmed on Thursday that an offer has been made.
"We've been engaged for some time," Evans said, acknowledging the starter's ties to the Red Sox and Cubs. "One of the premium guys on the market. If you're going to be in the market, it's going to be a premium deal."
The Giants have the money for a premium deal after losing Pablo Sandoval to the Red Sox.
San Francisco is casting a wide net, and free agent right-hander Ervin Santana is among the other starting pitchers the Giants are reportedly targeting.
[RELATED: Report: Giants showing interest in P Santana]
The list of free agent pitchers is highlighted by Max Scherzer, James Shields, Brandon McCarthy, Hiroki Kuroda and Francisco Liriano, among others.\