President Barack Obama and Vice President Joseph Biden separately interviewed Diane Wood about the Supreme Court vacancy on Tuesday, according to a source with knowledge of the conversations.

Wood, a federal appeals court judge, is the fourth potential nominee whom Obama has personally met with in the last week in the quest to replace retiring Justice John Paul Stevens. Others include Solicitor General Elena Kagan and federal appeals court judges Merrick Garland and Sidney Thomas.

White House officials won’t say when the president will announce his final pick, except to say it will be by May 26. At least one Hill source familiar with discussions predicted that early next week is likely.