Rep. Jesse Jackson, Jr. (D-Ill.) proposed undoing House Republicans' first cut to help fund lawmakers' security.

Jackson, in a release, said his staff is working on a proposal to reverse the 5 percent cut in the office budgets for members of Congress, which the House approved last week.

In addition to restoring the cut, Jackson said he would propose a 10 percent increase in office budgets for security, in the wake the shooting of Rep. Gabrielle Giffords (D-Ariz.) Saturday at a meeting with constituents in her home district.

"I do not feel that fear should grip us, but since 9/11 we've secured every federal facility with the exception of our district offices," Jackson said. "After the events of last weekend it is clear that our district staffs are vulnerable. Members should have the resources and the latitude to take the appropriate security measures in order to protect themselves and their staffs."

The cut in office budgets was one of the first measures on which the new Republican House had taken action last week. It had first been proposed by Speaker John Boehner (R-Ohio) to reflect the atmosphere of austerity that the GOP has sought to project with its new majority.

Jackson, like many other Democrats, opposed the Republican-led cuts.