Sen. Ted Cruz said Sunday that the government’s background-check system for gun purchases is flawed and needs strengthening.

The Texas Republican, a strong backer of the National Rifle Association, said the Democrats’ push for new gun restrictions is misguided, but he emphasized that there’s plenty of room for Congress to make it tougher for those barred from owning guns from buying them.

“Are there things we can do? Sure. One of the things we could do is we could improve the quality of the federal database,” Cruz said in an interview on “Fox News Sunday.” “Right now a lot of states, a lot of local jurisdictions, are not reporting criminal convictions, not reporting mental health barriers to ownership. And so the federal database is not nearly as good as it should be. That would be a common-sense improvement.”