Lamet is 2-0 with a 2.70 ERA through his first two career starts and has struck out 16 batters in 10 innings. The 24-year-old picked up a win in the Padres' 6-2 victory over the Cubs on Tuesday and has held opponents to a .211 average.
"Obviously, if we're taking a long-term view of things, we've got a young guy throwing the ball like this," Green said. "I'm sure we'll find a way to get him an opportunity."
The hard-throwing right-hander is ranked as the Padres' No. 10 prospect, per MLBPipeline.com. He joined the rotation on May 25 in place of Weaver, who went on the disabled list with left hip inflammation.
Weaver, who has a 7.44 ERA and has allowed 16 home runs through 9 starts, threw a bullpen session on Tuesday and told Green his hip felt more free.
Cahill was shut down for 10-14 days after an MRI on his ailing right shoulder revealed no structural damage. He hasn't pitched since May 13 and has a 3.27 ERA in seven starts this year.
No Cubs comparisons for Green
Green wasn't ready to think about any similarities between the state of the Padres and the state of last year's World Series champions a few years ago.
The Cubs finished last or second to last in the National League Central for five straight years before making back-to-back postseason trips. The Padres have finished in fourth or worse in the NL West the last two years and entered Wednesday in last place.
"No. Not at all," Green said when asked if he thinks about the comparisons. "Guys on this field are incredibly important and are fighting like crazy to establish themselves as big league ballplayers. It would be completely wrong of me to look years down the road and dream what this might be.
"That's what fans get the luxury of doing. That's what the front office does."
• Green said nothing has changed to his knowledge on the status of hybrid reliever Christian Bethancourt, who's pitching at Triple-A El Paso and has a 12.54 ERA in nine appearances.
• Carter Capps, who's on the 60-day disabled list recovering from Tommy John surgery, faced live hitters on Tuesday at the team's facility in Peoria, Ariz., to "mixed reviews." The hard-throwing reliever is expected to throw again on Friday.
• Buddy Baumann threw out to 105 feet on Tuesday for the first time since being placed on the DL April 1 with left shoulder soreness.