From Wikipedia page about the short:
“The Gernsback Continuum” was adapted during 1993 as Tomorrow Calling, a short TV film by Tim Leandro for Film4 Productions.[3] Originally shown on Channel 4, the film was also presented at the British Film Festival, 4–10 October 1996.
Directed by Tim Leandro
Writing Credits (in alphabetical order)
William Gibson – (short story “The Gernsback Continuum”)
Tim Leandro – (screenplay)
Cast (in credits order)
Colin Salmon – Bill
Don Henderson – Mervyn Kihn
Toyah Willcox – Dialta Downes
Sara Stockbridge
Jack Raymond
Full cast list available on IMDb website.