Dozens of lawsuits have been filed against Boeing by families of Lion Air and Ethiopian Airlines crash victims.
Airlines are worried further splits between regulators over safety could confuse passengers and cause disruption.
The 737 MAX was grounded globally in March after a crash in Ethiopia killed all 157 people on board, the model's second deadly crash in five months.
Boeing was due to present the patch to officials and pilots of US airlines -- American, Southwest and United -- in Renton, Washington state, where the plane is assembled.
After the crash of Ethiopian Airlines on March 10, the Boeing 737 Max models have been grounded by all major countries including the US, China, EU nations and India.
Sakshi Batra is in conversation with Moneycontrol's Deputy Executive Editor, Gaurav Choudhury to discuss DGCA's grounding of Boeing 737 Max aircraft.
Harsh Vardhan, a senior aviation expert, said the way pilots are being inducted "is a cause of concern".
The latest directive follows advisories issued by US watchdog Federal Aviation Administration (FAA) and Boeing regarding the B 737 MAX planes after the crash of a Lion Air aircraft in Indonesia last month.