Em outros contextos, "expedition fee" significa uma taxa de urgência que deve ser paga para que um serviço seja concluído mais rapidamente. Também encontrei as variantes "expedite fee" e "expediting fee".

Aqui, entendo que sejam taxas de urgência que o trabalhador pode pagar caso queira começar no novo trabalho imediatamente.

Referências:

"'Expedite Fees' are fees added to another fee, often a fee for service, to ensure that the service provided will be expedited, meaning that it will be provided sooner than the same service would be provided without such a fee."
https://legalbeagle.com/6005562-expedite-fee.html

"Sometimes you need your passport in less than six to eight weeks. (...) You may apply for an expedited passport in person or by mail, paying an additional $60 passport expedition fee (...)."
https://www.sharplinkservices.com/passports/

"Emergency Passport - You must be traveling within 14 days and you have to make an appointment at the Philadelphia Passport Agency (...). There is a $60 expediting fee for this execution."
https://www.delcopa.gov/ojs/passportshowto.html

"Expedition: speed in doing something."
https://dictionary.cambridge.org/us/dictionary/english/exped...

Mais uma sugestão.

valor cobrado correspondente ao trabalho de conferência para o fornecimento do solicitado.

sug.

Sugestão com base no exemplo abaixo. Espero que ajude!