Palace have won two of their four games under Pulis - who replaced Ian Holloway as boss last month - and they gave Chelsea a serious test before going down 2-1 on Saturday.
Pulis has been impressed by the fighting spirit of his players despite their lowly position in the Premier League table.
And he insists he will not risk that spirit by signing players who may have the pedigree but not necessarily the same ethos.
"It's tough, because you go into a football club and you're playing catch-up. In the Premier League it's such a relentless league and you have runs of games where you're playing against teams like Chelsea where it's very, very difficult to get points," Pulis said.
"The spirit from the players in the past five, six games has been absolutely fantastic.
"One thing we must be careful of is that we bring players in with the same attitude of these because their attitude has been absolutely fantastic."
Whatever happens in January with new signings, Pulis knows survival remains a difficult goal to achieve.
"I'm not coming to the club saying 'we're going to definitely stay up'," he said.
"All I've said is I'll try and get it sorted out, organised and have a real go at it."