The 'IT Sweden' project - which was launched 18 months ago - is a global marketing drive backed by both the Swedish government and a number of private sector firms, including telecoms giant Ericsson.
The project - along with the tender process - was initiated by Invest in Sweden, a government body which was set up in 1996.
The deadline for applications for the UK pitch - for which around 15 agencies have already shown an interest - is next week, and the tender process is being co-ordinated by Invest in Sweden (IT and electronics) manager Lisa Naslund, who is based at the Swedish Embassy in London.
Naslund said: 'We need an agency with documented experience of the industrial sector, and the IT sector, in Sweden.'
The hired agency will land a one-year contract with the aim of pushing the message that 'IT is not a separate entity and that it is integrated throughout Swedish society', according to Naslund.
The agency will target the UK trade and business press, Naslund added.