The top Republican on the Senate Judiciary Committee says his party might throw up procedural roadblocks to delay next week’s planned confirmation hearing for Supreme Court nominee Sonia Sotomayor.

“We feel like the date was too early,” Sen. Jeff Sessions of Alabama said Monday after committee Republicans met to discuss their strategy for questioning Sotomayor.

Republican senators want more time to prepare their questions for the nominee, especially about a legal advocacy group for Latinos that Sotomayor was affiliated with in the past...