Sen. Robert Byrd, D-W. Va., makes his last trip to the Senate floor Thursday. The late, legendary lawmaker will lie in repose in the Senate Chamber before heading back to West Virginia for a public memorial service. Byrd’s casket will arrive at the Capitol at 9:45 a.m. ET and be carried by an honor cordon to the Senate floor where it will rest upon the Lincoln Catafalque for public viewing.

While the Senate Chamber has its period of quiet remembrance, the House side will be buzzing with activity as members try to tie up loose ends before heading home for the July 4th recess. House Speaker Nancy Pelosi, D-Calif., plans to move a supplemental appropriations bill for the wars in Afghanistan and Iraq, along with money for disaster relief and other domestic spending. Many House Republicans and some fiscally conservative Democrats wanted to vote on a “clean” supplemental that only contains war funds. They aren’t going to get that, and some Republicans have said that they will vote against the bill in protest. Liberal Democrats aren’t happy with the supplemental either, and will hold a press conference at 10:00 a.m. ET to voice their opposition to the funding request.

After the supplemental, the House may try again to pass a short-term extension of unemployment benefits. An attempt to pass an extension through the month of November earlier this week under suspension rules, which require a two-thirds majority for passage, failed.

Members of Congress will get an update at 8:00 a.m. ET on the Gulf of Mexico oil spill from Interior Secretary Ken Salazar and incident commander retired Admiral Thad Allen. The Administrator of the Gulf Spill Claims Fund, Kenneth Feinberg, will also be on hand to tell lawmakers how the $20 billion escrow fund established by BP is being doled out to claimants affected by the massive spill.

Solicitor General Elena Kagan may have finished testifying, but her confirmation hearings continue. The Senate Judiciary Committee meets at 4:00 p.m. ET to hear from people who knew and worked with Kagan before she was a Supreme Court nominee.

It’s going to be a marathon session on the Hill Thursday, so stay with Fox News for all the latest.