Burnham did not specify the scope of the restrictions he is planning, but suggested they would apply to the "everyday economy" as well as helping "promising start-ups and scaling firms".
It is understood that the government is planning to unveil details of the proposed restrictions, which were first reported by Politico and the Financial Times, alongside the Budget on 28 October.
The previous Conservative government had ruled out a total ban, external on non-compete clauses, after hearing from employers that it could reduce investor confidence in the UK or prompt companies to tighten how they share information internally.
The prime minister sought to frame the announcement on non-compete clauses as part of a wider government pitch to boost innovative sectors of the economy.
He told the summit that although the UK was home to outstanding research and start-ups, too many companies had gone abroad in search of investment.
He also signalled that the government would "say more" at the Budget about plans to use public investment as a way to encourage private funding in the economy.
He added that he wanted all UK regions to have a dedicated fund to do this, modelled on the Good Growth Fund launched in Greater Manchester last year, during his tenure as mayor of the city-region.
He also hinted that the government was looking at ensuring the tax system to ensure the UK can retain high-growth companies.
He said: "One of our biggest challenges is breaking through our own ceiling. Too often, our best ideas are developed and scaled overseas, and with it the jobs, technology and investment that goes with them."
"So I know there is more to do to fix that, specifically on tax, to encourage people to stay and scale."

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