Delap, who was once highly rated but has drifted into the periphery, sustained a knee injury in January.
He was spotted in a day in the life" video that City published on young star Micah Hamilton.
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Hull manager Liam Rosenior, where Delap is on loan, stated this week: "We've decided with Manchester City because of their facilities, because of what they can give him.
They'll rehab him to a point where he can come back to full training, so once he's back with us he's fully fit.
I think that's right for him and when that happens it's going to be like a new player. He's been a big miss for us."