More Of That could be back on the track in February after undergoing a wind operation.
Connections decided to take that course of action after the Ladbrokes World Hurdle hero made a disappointing return to action at Newbury last month.
Jonjo O'Neill's six-year-old looked a potential star after defeating Annie Power in a pulsating contest at the Cheltenham Festival in March, but lost his unbeaten record as he trailed home a distant third behind Medinas in the Long Distance Hurdle.
"He's coming along fine. He had a little wind op and he's back on track again now," said Frank Berry, racing manager to owner J P McManus.
"It will be five or six weeks' time somewhere probably."