The result left Allardyce's side 12th in the table, two places and four points above Phil Brown's Tigers.
"We now have a big game Wednesday," Allardyce told the Lancashire Evening Telegraph. "We have to put the disappointment behind us and get back to winning ways.
"I'm very disappointed in our overall performance at Stoke, even with the refereeing decisions going against us.
"Our players were not as good as they should have been by far and we have to take it on the chin, pick ourselves up for Wednesday, which is going to be a hugely tough game.
"I saw Hull against Chelsea in midweek and they have beaten Manchester City on Saturday, so it will be a big, big game for us to get three points on the board."
Source: Team Talk
Source: Team Talk