Poulter's Saturday afternoon birdie spree in Chicago inspired a comeback of epic proportions two years ago, as Europe came from 10-4 down to beat the USA.
The 38-year-old has been handed a wildcard for the tournament at Gleneagles, but Westwood has warned his teammates and European fans not to put too much pressure on Poulter to produce the same again.
"I think it's a lot to ask of him to do the same as he did last time," Westwood told reporters.
"He turned the whole momentum of the Ryder Cup around on that Saturday night so let's not put too much pressure on him with that, but certainly he seems to be able to raise his game for a Ryder Cup."
Poulter has the best Ryder Cup record of anybody to have played 15 matches, having won 12 of them.