WASHINGTON (CNN) -- A Texas state representative is seeking to move up his state's presidential primary in hopes the Lone Start State will play a more crucial role in selecting each party's nominee for president.

This comes as state legislatures in California, New Jersey, Illinois and Florida are also seriously considering proposals to move up the date of their primaries, the results of which could seriously alter the campaign terrain.

Texas State Rep. Roberto Alonzo of Dallas, a Democrat, introduced legislation Tuesday that would move Texas's presidential primary on the first Tuesday in February. Texas is currently scheduled to hold their primary in mid-March.

"Given that we will be electing a new president, since President Bush cannot seek re-election, and also given that the new president may be in office for eight years, it is imperative Texans have a strong say in whom the nominees for each party are going to be," Rep. Richard Raymond, a Democratic supporter of the bill, said in a statement.

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