"urgently update" is correct and usable in written English.
You can use it when you need to refer to something that needs to be done quickly. Example: We need to urgently update our software in order to keep our network secure.
Australia's reef 2050 long-term sustainability plan, urgently updated with input by the Palaszczuk government after its election, spared the reef an "in-danger" listing by the UN's world heritage committee last year.
The comments came after Brandon Lewis, the local government minister responsible for high streets, on Tuesday repeatedly batted away suggestions from members of the Commons business, innovation and skills committee that the government should look at urgently updating the property tax to help small shopkeepers.
Study participants suggested urgently updating the current Mongolian university and college curriculum.
Britain's defence strategy urgently needs updating, according to a government report.
If you're spending your single life standing flush to the skirting, waiting for Colin Firth to ask you to dance, you: a) urgently need to update your DVD collection, and b) have to remember that, since we stopped wearing bonnets, getting your chirpse on really needn't be that difficult.
Put those trends together and the only reasonable inference is that our assumptions about what networked machines can and cannot do need urgently to be updated.
We urgently need to review and update our risk assessments for deadly pathogens of epidemic potential and ensure that we are adequately prepared to deal with urban outbreaks when they do occur.
Toby Helm is right to highlight the huge concern over the under-representation of women in Parliament and recent accusations of sexual harassment show just how urgently we need to reform and update our political system.
