Speculation has centered around two candidates: former Treasury Secretary and White House economic adviser Larry Summers, and Janet Yellen, the current vice chairman of the Fed.
Senate Democrats have voiced support for Yellen, with a third signing a letter last week urging the president to elevate her to the post.
Pfeiffer said Wednesday that Obama would "get advice from people," but not necessarily be swayed by public appeals.
"He puts a lot more stock in private advice than public advice," Pfeiffer said.
Gene Sperling, who followed Summers as Obama's top economic adviser, said he had discussed the nomination with the president, but didn't plan to speak publicly about his counsel.
"We let the president make his personnel decisions … the only person I communicate that [advice] to is the president of the United States," Sperling said.
Addressing speculation that he has advocated on Summers's behalf, Sperling noted that he had worked with "several of the people who have been talked about" and considers himself a fan of each.
"Anything I would say about either of those people, either privately or publicly, would be extremely positive," Sperling said.
Sperling also said he hoped that the nomination wouldn't be too politicized, saying it was important to maintain a "strong sense of independence for the Fed."