SCT marketing and communications consultant Mark Terry said the brief would be to develop the Trust's PR programme from scratch.
'It's about building a PR campaign, but also about having links with the right people in sponsorship and maintaining links with existing sponsors as well,' said Terry.
'It is from getting case studies together, a picture file and basic copy writing to media relations and sponsorship,' he added.
The campaign would involve consumer, healthcare and tech PR.
Terry confirmed he had held talks with a number of agencies and freelances but was yet to compile a shortlist. He hopes to have support on board by the end of May.
The Canterbury-based Trust, which was set up in 1998 by Lord and Lady Swinfen, establishes telemedicine links between hospitals in the developing world and specialists who give free advice by e-mail.