President Donald Trump believes he has the influence of gathering Republicans around stricter laws on background control for arms owners, while Congress and the White House work on a response to the recent mass shootings in Texas and Ohio.
At the same time, Trump said he assured the National Rifle Association that his views on arms rights would be "fully represented and respected".
He said he hoped the NRA would not be an obstacle to strengthening the nation's firearms laws.
Trump has promised to conduct stricter gun control measures earlier, even after the Parkland, Florida, shooting at school in 2018, but little has arrived.
His comments in the wake of the twin massacres marked his most optimistic and supportive words in favor of stricter weapons laws, although he left the details vague and it remained to be seen how much Trump's political capital would throw behind the marshaling Republicans on the issue.
Trump said he is now looking for "very significant background checks", but he is not considering resurrecting a ban on assault weapons.
He also said that politicians will support the "red flag" laws that allow weapons to be removed by those who could be a danger to themselves and others.
"I immediately feel a better feeling to get something meaningful," Trump told reporters when asked why the political environment was different now.
"Now I have more influence on the Senate and the House," he told the White House.
The NRA, one of the most powerful lobbies in the United States and a frequent donor of Republican politicians, for decades rejected weapons control efforts. In a statement this week he indicated that he still opposed further arms restrictions.
Trump told reporters at the White House that the ANR should have a contribution on the issue and could come to support more in-depth checks on arms buyers, or at least not be so severe in its opposition.
Following last weekend's attacks that killed 31 people in Texas and Ohio, Trump said the United States needs in-depth checks on arms buyers "so that patients do not receive weapons."
Trump said he spoke to the head of the NRA Wayne LaPierre by telephone.
"I think, in the end, Wayne and the NRA will be present or maybe they will be a little more neutral and would also be good," said Trump.
"You know, it's a slippery slope. They think I approve of one thing and this leads to many bad things. I don't agree. I think we can make significant and very significant background checks. I want to see it happen."
Rump said that many attempts to limit the ownership of weapons have stalled at a congress in the past "but he has never been a president like President Trump." I have a very good relationship with the NRA, "he said.
The group's pressure helped to force the Republican president to give up supporting the stricter weapons laws last year, despite the national indignation for the deadly shootings of 17 people in a high school in Parkland, Florida.
The NRA spent $ 30.3 million to support Trump's 2016 presidential campaign, according to the Center for Responsive Politics, a group that monitors campaign spending.
Democratic Senate leader Chuck Schumer, in a Twitter post, said: "It will be almost impossible to accomplish anything meaningful to tackle armed violence" if Trump requests pre-approval by the NRA.
The Washington Post reported that LaPierre called Trump this week to tell him that a background check account would not be popular among his supporters.
Trump said he "spoke with the NRA and others, so that their very strong opinions can be fully represented and respected".
While considering whether to push for new measures, Trump must also ensure that he does not lose the support of gun rights conservatives as he runs for re-election next year.
The Democrats are trying to galvanize public support for legislative action on what has been a controversial topic for years, even before the Trump administration.
Since becoming president in 2017, there have been mass shootings at a church in Texas, a concert in Las Vegas and high schools in Florida and Texas.
Initially, Trump seemed to support background checks, but then he didn't mention them in a public talk focused on mental illness and media culture as possible causes of mass shootings.
He later called for Congress support for background checks and blocking the access of weapons to mental patients, but not for any effort to ban assault rifles.