Tejada suffered the injury pursuing a foul ball during the ninth inning of Wednesday's Subway Series game at Yankee Stadium. He departed with one out remaining in the Mets' 9-4 win.
Tejada spent seven weeks on the disabled list last season with a strained right quadriceps.
Tejada, along with first baseman Ike Davis, had been summoned into manager Terry Collins' office Tuesday and informed demotions were imminent if they did not improve their play. So while the injury is not welcome news for the organization, it does provide a vehicle to ultimately get Tejada to the minor leagues for rehab games without the stigma of a demotion.
Tejada, 23, is batting .209 with 10 RBIs in 187 at-bats this season. He also has shown lapses at shortstop.
Quintanilla was removed from Wednesday night's Las Vegas game after three innings, which signaled the Mets' intention to promote him. He is batting .413 with one homer, 10 RBIs and 10 walks this month with the Pacific Coast League club.
Quintanilla, 31, missed earning an Opening Day roster spot when the Mets opted to carry an extra outfielder, Kirk Nieuwenhuis, over a backup shortstop.
The lefty-hitting Quintanilla primarily has played in a platoon at shortstop in Triple-A. Collins similarly could employ a platoon with righty-hitting Justin Turner with the Mets.