Kilmarnock followed up Saturday's win at Brora Rangers with a 1-0 home victory against William Hill Premiership rivals Livingston on Wednesday night.
A first-half own goal from Mo Sylla was all that separated the sides at the BBSP Stadium, Rugby Park as Stuart Kettlewell's men took a big step towards the last 16.
Killie's next Group H fixture is away to Kelty Hearts on Tuesday July 22 while Livi host Brora this Saturday.