
"While discussions are ongoing and revisions are being considered, the president is supportive of efforts to improve the Federal background check system," White House press secretary Sarah Sanders said in a statement.
Trump has come under intensifying pressure to act after a teenage gunman went on a rampage at a high school in Parkland, Florida on Wednesday, killing 17 people.
Angry students who survived the attack have called for a march on Washington to demand changes in US gun laws, calling out Trump and the powerful National Rifle Association at rallies.
Sanders said Trump had spoken to Senators Chris Murphy, a Democrat, and John Cornyn, a Republican, who have jointly sponsored a bill to fix a national database by requiring states and federal agencies to report more often on offenses that would bar an individual from buying a gun.
Trump turns on FBI over school shooting after criticism from survivors
The legislation amounts to a narrow, technical fix, leaving unaddressed the broader, divisive issue of permissive gun laws under a constitutional amendment that protects the right to bear arms.
Normally on opposite sides of the gun debate, the lawmakers teamed up in November after a gunman stormed a church in Texas, killing 26 people in one of the nation's deadliest mass shootings.
That gunman, Devin Kelly, was able to buy guns while serving in the air force despite a domestic violence conviction that should, by law, have prohibited him from purchasing or possessing firearms.
The conviction was never reported by the air force, however, exposing a major weakness in the background check system.
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