During a Thursday hearing on the bill, the committee heard testimony from witnesses from Newtown, Conn., where a gunman killed 20 children at Sandy Hook Elementary in December. The committee will now take up the bill and consider amendments to the legislation.

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Senate Majority Leader Harry ReidHarry Mason ReidWATCH: There is no Trump-Russia collusion and the media should stop pushing this The demise of debate in Congress ‘North by Northwest,’ the Carter Page remake MORE (D-Nev.) has said he'll allow gun-control legislation to come to the Senate floor for a vote, but has not offered more specifics. Some centrist-Democrats up for reelection in 2014 have expressed concern over the possible tough vote. But Feinstein has insisted on bringing gun legislation up for debate in the Senate Judiciary Committee, which is chaired by Sen. Patrick LeahyPatrick Joseph LeahyGrassley, Dems step up battle over judicial nominees Popular bill to fight drug prices left out of budget deal Judiciary Dems want public hearings with Kushner, Trump Jr. MORE (D-Vt.).

The committee will also markup more moderate gun-control measures on reducing illegal gun trafficking and enhancing the national background check system to keep criminals from buying guns.

Sen. Barbara BoxerBarbara Levy BoxerKamala Harris endorses Gavin Newsom for California governor Dems face hard choice for State of the Union response Billionaire Steyer to push for Dem House push MORE’s (D-Calif.) bill, S. 146, to better protect schools from gun violence will also be considered in committee on Thursday.

U.S. Attorney General Eric HolderEric Himpton HolderPavlich: The claim Trump let the mentally ill get guns is a lie Pennsylvania Supreme Court releases new congressional map 36 people who could challenge Trump in 2020 MORE will testify before Leahy’s committee during an oversight hearing on the Department of Justice (DOJ) on Wednesday. Holder can expect sharp questioning from Republicans who have been critical of his handling of the DOJ.

Details on these and other key hearings next week follow:

Senate Armed Services

- March 5, “U.S. Central Command and U.S. Special Operations Command”

9:30 a.m., 216 Hart Senate Office Building

- March 7, “U.S. Africa Command and U.S. Transportation Command”

9:30 a.m., 106 Dirksen Senate Office Building

Senate Banking

- March 7, “Patterns of Abuse: Assessing Bank Secrecy Act Compliance and Enforcement”

10 a.m., 538 Dirksen Senate Office Building

Senate Budget

- March 5, "Reducing the Deficit by Eliminating Wasteful Spending in the Tax Code”

10:30 a.m., 608 Dirksen Senate Office Building

Senate Energy and Natural Resources

- March 7, “To Consider the Nomination of Sally JewellSarah (Sally) Margaret JewellEx-Interior chief ribs Zinke over ‘secretarial flag’ Overnight Regulation: Senate panel approves driverless car bill | House bill to change joint-employer rule advances | Treasury to withdraw proposed estate tax rule | Feds delaying Obama methane leak rule Overnight Energy: Dems take on Trump's chemical safety pick MORE to be the Secretary of the Interior”

10 a.m., 366 Dirksen Senate Office Building

Senate Health, Education, Labor and Pensions

- March 7, “Safe and Supportive Schools: Lessons from the Field”

430 Dirksen Senate Office Building

Senate Homeland Security

- March 6, “The Department of Homeland Security at 10 Years: A Progress Report on Management”

10 a.m., 342 Dirksen Senate Office Building

- March 7, “The Cybersecurity Partnership Between the Private Sector and Our Government: Protecting Our National and Economic Security”

2:30 p.m. G50 Dirksen Senate Office Building

Senate Indian Affairs

- March 7, “Listening Session on Tribal Priorities for the 113th Congress”

9 a.m., 628 Dirksen Senate Office Building

Senate Judiciary

- March 6, “Oversight of the U.S. Department of Justice”

9:30 a.m., 226 Dirksen Senate Office Building

- March 7, “Markup: Gun-Control Legislation”

10 a.m., 226 Dirksen Senate Office Building