The Senate’s immigration Gang of Eight plans to announce a deal within a week but a committee markup is not expected until at least the week of May 6, providing a long period for debate and changes, Senate aides said Tuesday.

Aides said the legislative proposal could be released as soon as Thursday, but is more likely to be ready early next week. The schedule outlined by the aides is meant to satisfy Sen. Marco Rubio (R-Fla.), who has said repeatedly that he wants a full debate and amendment process, to maximize the chances that the final vote is an overwhelming majority.

A Senate aide told POLITICO: “The senators had a good discussion with [Judiciary Committee] Chairman [Patrick] Leahy this afternoon. We are optimistic that we will be able to introduce legislation soon. Chairman Leahy has agreed to hold a hearing as soon as possible after the legislation is introduced, and has promised to have unlimited debate and amendments during the committee markup. …

“Senator Rubio will be requesting that his Senate colleagues arrange multiple public hearings on the immigration bill,” he said. “We believe that the more public scrutiny this legislation receives, the better it will become.”