Members of president-elect Donald Trump’s transition team continue to prod JPMorgan (JPM) chief Jamie Dimon to accept the job as the new administration’s Treasury Secretary but Dimon continues to say he’s not suitable for the role, but is offering himself as an unofficial advisor to the new administration on economic and banking issues, the Fox Business Network has learned.

The back-and-forth with Dimon dates back nearly a week, but has picked up steam in recent days as Trump himself has made it clear to advisers he might want Dimon for the job, according to people with direct knowledge of the matter.

While Dimon continues to tell the Trump team he is “not suitable” for the Treasury Secretary position, people inside the Trump transition office believe he’s leaving the door open to accept the post if Trump offers it to him in a direct fashion, according to people with direct knowledge of the matter.

Dimon, meanwhile, has told Trump’s transition team that he is willing to work as an unofficial advisor to the new president, “expressing his willingness to help” with economic and banking issues, said one person with direct knowledge of Dimon’s thinking.