Allardyce was pragmatic about the defeat believing his side were just unlucky to come out as losers.
"We were never in control of the game completely especially against a side like Liverpool, we were not going to dominate for the whole game," he said.
"We gave everything we could. We can't continue to play and dominate teams we play, when we did today we got ourselves in the lead.
"We just got promoted, we are in a good run of form and there are expectations from fans.
He added: "The loss of Diame didn't help. We lost forward momentum but we defended well and overall the goals conceded were a bit unfortunate.
"There was a wonder goal from Johnson and Cole took his well. Unfortunately for us 'Ginger' (James Collins) scored an own goal."