Darren Way’s side will welcome Bradford City or Oxford United – whose quarter-final tie was postponed – to Huish Park if they win at Kenilworth Road on Tuesday, February 7th (7.45pm).
The Glovers’ fate would have been decided on Tuesday but for a frozen pitch in Bedfordshire.
Bradford currently sit in the League One play-off places while Oxford are midtable in the division.
Should Town progress, the semi-final will take place the week commencing February 20th.
FULL SEMI-FINAL DRAW
Coventry City v Wycombe Wanderers
Yeovil Town/Luton Town v Bradford City/Oxford United