Dirk Kuyt and Jordan Henderson were both denied by the woodwork, Luis Suarez and Andy Carroll had numerous opportunities while Maxi Rodriguez had appeals for a first-half penalty turned down.
Liverpool have won just five times in 17 home matches and tales of missed chances have become all-too commonplace for the Scot.
"It's not just been one of those days; it's been like that seven or eight times here," he said. "There's not much else that we can add to what we've said before so many times after a game at Anfield.
"I think you could go back over the old interviews and it'll be the same thing.
"They just need a bit of luck I think. It sounds repetitive but it's not an excuse.
"We're not running away from something. It's not as if there's something drastically wrong that we can't identify.
"It is just a piece of good fortune that we need."