Democrats said the Republican bill would be dead on arrival in the Senate, even if it passed the House.
There are already some 2,000 US troops ready to be deployed.
Washington is on heightened alert for activity by Iran-backed groups as regional tensions soar during the Israel-Hamas war.
US Secretary of Defense Lloyd Austin stated that "Hamas has nothing to offer but bigotry, death".
Turkish President Recep Tayyip Erdogan claimed that the US carrier strike group will commit 'serious massacres' in Gaza.
Prime Minister Benjamin Netanyahu is already confirmed to be having conversations with both US President Joe Biden and French President Emmanual Macron later in the day.
Gallant emphasized to Austin how much the Islamic Republic stimulates attacks against Israel using proxies in Syria, Lebanon, Gaza and the West Bank.