It is not known whether incumbent agency Geronimo Communications has been shortlisted for the new work.
The brief is understood to be to continue the work that Geronimo has started, to reach out beyond the education community and engage parents, employers and learners on the benefits of technology.
Becta oversees the procurement of ICT equipment and e-learning schools strategies.
Geronimo's campaign launched in January and focused on consumer media relations. Becta is part of the Department for Education and Skills.
Becta this week announced the winners of its ICT Excellence Awards 2008.
Nottingham's Djanogly City Academy and Blackburn's Redeemer Church of England Primary School were the main winners.