House aides were unsure when the bill might be considered, but indicated that it is still expected to be debated and voted on sometime this month.

Jackson Lee's bill would reauthorize the Juvenile Accountability Block Grant program, at $40 million a year for the next five years. That program allows for several different kinds of grants, and her bill would amend a grant dealing with school safety to specifically include "research-based bullying prevention, cyberbullying prevention and gang prevention programs, as well as intervention programs regarding bullying."

If these anti-bully grants were to get an even share of the total grant money, it could mean $2 million to $3 million a year nationwide for states' anti-school-bullying programs.

The House was also expected to consider S. 1959, which would require the government to report on whether it thinks the Haqqani Network should be designated a terrorist organization.

That bill, from Sen. Richard BurrRichard Mauze BurrOvernight Energy: Chemical safety regulator's nomination at risk | Watchdog scolds Zinke on travel records | Keystone pipeline spills 210,000 gallons of oil Overnight Regulation: Senators unveil bipartisan gun background check bill | FCC rolls back media regs | Family leave credit added to tax bill | Senate confirms banking watchdog Collins ‘leaning against’ Trump EPA chemical nominee MORE (R-N.C.), is similar to one from House Intelligence Committee Chairman Mike Rogers (R-Mich.), and the two members are expected to discuss differences between their bills before the House considers the legislation.