"This is an issue that has 90 percent support. What the president wants is to sign a strong bipartisan bill that has enforceable background checks. And we can get that done," Pfeiffer said on ABC's "This Week" Sunday.
As the Senate weighs national gun measures this month, several states have already taken action and passed sweeping gun legislation over the past month. Colorado, Maryland and New York have enacted new gun restrictions in addition to Connecticut, which last week signed into law some of the nation's strictest gun laws since the massacre at Sandy Hook Elementary.
"We have come together in a way that relatively few places in our nation have demonstrated an ability to do," Gov. Dannel Malloy, D-Conn., said at the bill signing on Thursday.
Wayne LaPierre, executive vice president of the National Rifle Association, who opposes the assault weapons ban and universal background checks, criticized Connecticut's legislation.
"The problem with what Connecticut did is the criminals, the drug dealers, the people that are going to do horror and terror, they aren't going to cooperate," LaPierre said in a Fox News interview Thursday.
"Wayne reminds me of the clowns at the circus. They get the most attention. That's what he's paid to do," Malloy said on CNN's "State of the Union" Sunday. "This guy is so out of whack. It's unbelievable."
An ABC News/Washington Post poll conducted in March found that 91 percent of the public favors universal background checks. 52 percent favored stricter gun control laws in the country.
The Associated Press contributed to this report.