OPEC and other non-OPEC producers, such as Mexico, have pledged to cut oil output by nearly 1.8 million barrels per day to bring supplies back in line with consumption.
The company plans to ship an average of 30,000 barrels per day (bpd) of Maya crude and 50,000 bpd of Isthmus crude over the course of 2017
Two of the sources said Mexico's government would reject the request because of the heavy impact it would have on its tax take.
During a televised address to the nation, President Enrique Peña Nieto defended the gas price hike as an extremely difficult but necessary decision his administration had to make.
The inventor wants to build a micro-refinery that produces fuel using trash from his local landfill.
Mexican government said the deregulation had long been planned, but unfortunately coincided with rising world oil prices
Fuel thefts through illegal taps in the company's sprawling network of pipelines have been an ongoing problem at Pemex, which reported more than 5,000 robberies of fuel in 2015.
"We are expecting Mexico's imports from the U.S. to increase to an average of 900,000 barrels per day (bpd) in 2017..." said the head of oil products research at Energy Aspects.
Guillermo Garcia, president of the commission, told a news conference market prices for gasoline and diesel will be rolled out gradually by regions
One OPEC source said Mexico could contribute as much as 150,000 barrels per day to cuts.