1:30 p.m. Spicer emphasized the president’s concerns when it comes to widespread voter fraud but still provides no evidence that millions voted illegally, as Mr. Trump continues to claim on social media.

“We have to understand where the problem exists, how deeply it goes,” Spicer said, referring to the president’s call early Wednesday for a “major investigation” into unproven claims of voter fraud. 

1:27 p.m. Mr. Trump has offered federal help to Chicago, Spicer says, but he does not go into details about the nature of that help.

1:25 p.m. Spicer’s response to a potential executive order restricting immigration from Muslim countries: “The president’s talked extensively about extreme vetting.”

He stressed that any action would only restrict “people from a country that has a propensity to do us harm.” 

1:23 p.m. In the briefing, Spicer says the National Park Services’ account for the Badlands national park had tweeted “inappropriate things.” 

Still, Spicer pushed back on reports that federal agencies have been directed to limit social media communications.

“They haven’t been directed by us to do anything,” he said. “That directive did not come from here.”

1:20 p.m. Pressed to weigh in on DACA -- President Obama’s Deferred Action for Childhood Arrivals -- Spicer said the president has yet to make a decision on the issue but that he is an understanding executive.

“He’s a family man,” Spicer said. “He understands, he has a huge heart and he understands the significance of this problem.”

1:16 p.m. Asked about the draft memo on interrogation practices reported on CBS News and other outlets, Spicer pushed back on the media reports. 

“It is not a White House document,” Spicer said. “I have no idea where it came from.”

1:10 p.m. Spicer says Mr. Trump will sign two executive orders Wednesday related to immigration after he witnesses the swearing-in ceremony of DHS Secretary Kelly John Kelly at the agency’s headquarters.

The first will be on border security and improvements, which will direct the building of “a large physical barrier” along the southern border. 

“One way or another, Mexico will pay for it,” Spicer promised. Later, he said “the president’s working with Congress to figure out opportunities for Mexico to pay for the wall.”

The press secretary said the second executive order will begin the process of stripping federal grant money for so-called sanctuary cities that protects undocumented immigrants from deportation. The order, Spicer said, directs agencies to “look at funding streams” and to “figure out how to defund those streams.” 

1:05 p.m. Spicer gives an update on Mr. Trump’s pick for the Supreme Court, saying he will announce his final decision next Thursday.

Spicer also gives a readout of Mr. Trump’s phone call with Prime Minister Modi of India, which Mr. Trump called a “true friend and partner.”

“They also discussed security in south and central Asia,” Spicer said. “President Trump looks forward to hosting Modi later this year.”

The press secretary also discussed president’s brief meeting Wednesday with U.S. ambassador to the United Nations, former South Carolina Gov. Nikki Haley.

12:50 p.m. White House press secretary Sean Spicer is about to take questions at a briefing, just as President Trump is calling for a “major investigation” into widespread voter fraud despite no evidence that millions voted illegally in the presidential election. Earlier this week at another briefing, Spicer defended Mr. Trump’s claim saying that it was “based on studies and evidence that people have presented to him.” 

The briefing also comes just as Mr. Trump is expected to announce executive actions on immigration Wednesday during a visit to the Department of Homeland Security. 

Late Tuesday night, the president also sent a message on Twitter calling attention to the violent crime rate in Chicago. Mr. Trump promised that he “will send the Feds” to assist the city. 

Spicer will likely face questions about a draft of an executive order, obtained by CBS News Wednesday, which considers a review of how officials interrogate terror suspects. The draft also considers the possibility of reopening CIA-run “black site” prisons outside the U.S.

Tune in to CBS News’ live stream on CBSN and live blog updates as it happens.