The comedy showcase will return to Comedy Central later this year for a fourth series.
The channel says that the three series broadcast to date have reached an estimated 7.3 million viewers.
Louise Holmes, General Manager of Comedy Central UK says: "Rob has outstanding stand-up credentials and we are delighted to be home to his uniquely cool and charismatic brand of comedy. I'm thrilled to have him take the reins of the new series which promises to bring the very best stand-up to our comedy hungry audience."
Rob Aslett, Executive Producer for Avalon, added: "We're delighted to be working with Comedy Central to bring more of the most exciting stand-ups out there to the channel and incredibly pleased to have the exceptionally talented Rob Delaney on board to host it."
Recorded at The Electric Ballroom in Camden, Series 4 will be broadcast later this year on Comedy Central.
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