Ms McGovern was hosting the Convention of the North in Rotherham when Mr Johnson had departed. She was referencing comments made by the Prime Minister about his predecessor David Cameron. Ms McGovern said: "I just want to point out I am a girly swot and I'm proud of it.
"Let's see who's in the job the longest."
Ms McGovern later tweeted: "This is a BBC event I was hosting today, I made a light hearted remark after Prime Minister's speech.
"Sorry that caused offense to some.
"That was absolutely not my intention."
Previously redacted Cabinet papers revealed Mr Johnson noted: "The whole month is a rigmarole introduced by girly swot Cameron to show the public that MPs are earning their crust."
The note is written on August 16 and is believed to be a help for senior help.
Mr Johnson would end up going forward with the procedure referred to as proroguing.
It is believed Ms McGovern is employed on a freelance basis by the BBC and thus is free to take up outside work.
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He replied: "Would you mind, I'm very happy to get back to Parliament very soon."
The Prime Minister also insisted: "We've lost our time in Parliament sitting time.
"There is ample time for Parliament to consider not just Brexit but all kinds of things."
Saturday marks his 52nd day in office.
The shortest time in office for a Prime Minister is Tory George Canning who died in office.
Mr Canning's successor The Viscount Goodrich resigned after 114 days, the shortest spell of a Prime Minister who did not die in office.
The Viscount was unable to hold together at the Canningite-Whig coalition and was replaced by The Duke of Wellington.
Mr Johnson is set to meet Jean-Claude Juncker on Monday.
He will also meet Xavier Bettel, Prime Minister of Luxembourg.