His side offered very little in attack but it was the Eagles' defending that left Pulis wanting more.
"The two goals we conceded were poor," he said.
"The one thing we have been since I came here is pretty solid and disciplined in coping with most things but today we have gifted them two poor goals.
"From that point onwards we are chasing the game against a team I feel will finish in the top eight."
With two home league wins out of two going in to the match Pulis knows home form will still be a factor if Palace, who remain 18th in the table, are to survive.
"You have to do well at home," he added.
"The next two games at Villa Park and Man City will be tough, tough games so we have to do well here and we can't be gifting teams goals."
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