"But I've got nothing to lose. I have come as defending champion, but it's still only my second time here, so I'm just trying to enjoy it.
"To be still in with a chance of winning at this stage is a great feat, I think."
Mark Selby describes his fluke in the final frame
Selby recovered from a shaky spell early on and fought back when Allen was within one frame of victory - but also got his share of luck in the deciding frame as he fluked a red while escaping from a snooker.
"I couldn't believe it happened," the 25-year-old added. "I said to Mark 'I can't believe you left me that'. There was great banter out there."
Experienced Higgins displayed his superior class and composure against Ding, no more so than when the 21-year-old levelled at 4-4.
After coming so close to taking a 5-3 lead, Higgins took control in the ninth frame with a clearance of 127 before closing out the match in the next.
In Friday's two quarter-finals, Stephen Maguire takes on Neil Robertson and Ali Carter meets Ronnie O'Sullivan.
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