WASHINGTON — A bipartisan group of senators has agreed on a plan to grant legal status to most of the estimated 11 million illegal immigrants in the U.S., which could form the basis for a far-reaching overhaul of immigration laws this year.

The Senate blueprint, drafted during weeks of closed-door meetings by leading senators from each party, will probably set parameters for a contentious legislative battle over the next several months. The eight senators involved intend to release their proposal publicly Monday. A copy was provided to The Times’ Washington bureau on Sunday by Senate aides.

The Senate plan is more conservative than President Obama’s proposal, which he plans to unveil Tuesday in a speech in Las Vegas. But its provisions for legalizing millions of undocumented immigrants go further than measures that failed to advance in Congress in previous years — a reminder of how swiftly the politics of immigration have shifted since Latino voters’ strong influence in the November election.

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