Supasundae could possibly run at both the Aintree and Punchestown Festivals next month following his excellent effort in defeat in the Stayers' Hurdle at Cheltenham.
The Betway Aintree Hurdle on April 12 and the Champion Stayers Hurdle two weeks later in Ireland are being considered by trainer Jessica Harrington.
The County Kildare handler reports the eight-year-old to be in fine form, after finding only Penhill two lengths too good at Prestbury Park last week.
"There's not a bother on him. He's in great form," she said.
"We're not quite sure, but he might go to Aintree and Punchestown."
Harrington will wait until she has talked with owners the Cooper Family Syndicate before making any plans for Our Duke.
Last year's Irish Grand National hero disappointed in the Cheltenham Gold Cup after finding conditions unsuitable.
"He hasn't done much since he came back. He's actually been in his stable because we've had snow," said Harrington.
"He's fine, he's sound and back in one piece and that's the main thing.
"I don't know yet what we'll do next. I'll be talking to his owners this week."
Our Duke was Harrington's only runner in the Gold Cup, with last year's winner Sizing John withdrawn eight days before the race after sustaining a hairline non-displaced fracture of his pelvis.
The eight-year-old has been having box rest before being reassessed.
"He gets rescanned on Thursday this week and then we'll have an update on him," Harrington said.
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