Mexican newspapers El Universal and Reforma, and the Televisa network reported Oseguera’s death.
Earlier, people with guns set cars and trucks on fire in the western state of Jalisco, blocking several roads in response to a security operation taking place in the region.
This technique is used to thwart police trying to move in on a high-value target.
The violence spread to the neighbouring state of Michoacan, where Oseguera’s cartel also has a presence.
His cartel was formed in 2009 and became one of Mexico’s most violent drug trafficking organisations, according to the US Justice Department.
US officials formally classified it as a terrorist organisation and accuse the cartel of sending cocaine, heroin, methamphetamine and fentanyl from Mexico across the border into the US.
-Agence France-Presse