A decision about whether to intervene in the deal would then be taken by the secretary of state for digital, culture, media and sport after considering the relevant information.
ARM is one of the UK’s few world-class tech companies and its technology is at the heart of most smartphones.
But there are mounting fears the firm’s headquarters could be axed when ARM becomes a Nvidia subsidiary.
Nvidia promised that ARM, which has 2500 UK workers, will remain a British firm and plans to build a artificial intelligence research centre in Cambridge.
SoftBank’s takeover of the firm in 2016 for $32 billion was one of the largest deals to take place after the Brexit referendum. The then Prime Minister Theresa May received assurances that ARM would remain in Cambridge but these stipulations run out next year.