Protests against the bill have drawn huge crowds in rallies organised by unions since January.
Most have been peaceful, but anger has mounted since the government pushed the bill through parliament without a vote last week.
The ongoing protests could impact a planned state visit next week of Britain's King Charles, a Buckingham Palace source said.
While the opposition has called for Macron to fire his prime minister, Elisabeth Borne, who has been at the forefront of the pension reform, Macron backed her and said that he had tasked her to work on new reforms.
"Tomorrow we will be on the streets again to demonstrate against the pension reform and demand its withdrawal," said one of them, CFDT union member Sophie Trastour.