Updated: 9:37 a.m.

President Barack Obama will huddle with key Senate Democratic and Republican leaders Wednesday morning to discuss the Supreme Court vacancy left by retiring Justice John Paul Stevens, apparently hoping to nominate a replacement before the end of May.

The president is set to meet at 10:30 a.m. with Senate Majority Leader Harry Reid (D-Nev.), Minority Leader Mitch McConnell (R-Ky.), Judiciary Chairman Patrick Leahy (D-Vt.) and Judiciary ranking member Jeff Sessions (R-Ala.). Vice President Joseph Biden will also attend the meeting.

Obama plans to announce his high court nominee within the next few weeks. He has already begun talking to candidates, although his discussions have been more conversations than formal interviews, according to a White House official.

While there is no set date for selecting a nominee, the official said if an individual is chosen by May 26 — the date last year when Justice Sonia Sotomayor was named — the White House would expect the Senate to vote on confirmation by the August recess.