(Kitco News) - Speculation is rising as Janet Yellen approaches the end of her term as Chairwoman of the Federal Reserve, especially among Trump aides.

Despite reports that she could still be in the running for a second term come this fall, some Trump administration advisers are hoping for a change in leadership.

President Donald Trump has been critical of Yellen in the past, suggesting that she had kept interest rates low to aid former President Barack Obama. However, it was reported that last week Trump praised Yellen for being a “low-interest-rate” person, like himself.

Trump’s stance on the matter remains uncertain with Treasury Secretary Steven Mnuchin recently stating a decision has yet to be made.

“We haven’t made any decisions yet on the Fed chair, whether we’re going to have a new one or not going to have a new one,” Mnuchin told Bloomberg on June 20.

Following the most recent Federal Open Market Committee meeting on June 14, Yellen was asked during her press conference if she was considering serving a second term.

“I fully intend to serve out my term as chair which ends in early February,” she responded, adding she has “not had conversations with the President about future plans.”

Gary Cohn, the former Goldman Sachs executive who now serves the President as his top economic advisor, is set to oversee the search for the next Fed chief.

Last month, some media reports suggested that Cohn himself could possibly assume Yellen’s position.

However, the confirmed chair will not expected to be announced until the fall. Yellen's four-year term comes to an end on February 3, 2018.