Former Obama administration national security adviser Susan Rice said "there's no evidence" President Trump's proposed travel ban from six majority-Muslim countries would make the United States safer.

Trump again raised the travel ban, which has been tied up in litigation after being struck down by multiple courts, following the terrorist attacks in London Saturday night. Rice said Trump's idea won't have any effect on American safety.

"There's no evidence ... we would make ourselves here in the United States safer," she said.

Instead, Rice said, "there's a very real risk that by stigmatizing and isolating Muslims from particular countries, and Muslims in general, that we alienate the very communities here in the United States that we most need to detect and prevent these homegrown extremists from carrying out attacks."

Trump has proposed banning Syrian refugees from coming to the United States, along with a temporary pause from multiple other majority-Muslim countries. The proposal was struck down after it was first proposed in January and then again after it was revised a few weeks later.

Trump has called on the Supreme Court to make a decision about the ban once and for all.

Rice said the travel ban would hurt the United States abroad, and is another one of Trump's misguided diplomatic adventures. She pointed to his trip to NATO and the G-7 conference last month as evidence.

She said Trump's refusal to explicitly state the United States would back up the Article 5 provision, that an attack on one NATO country is an attack on all, was a win for the Russian government.

"When the U.S., the most important player in NATO, casts doubt about our commitment to that alliance, it undermines our security and undermines the security of our allies," she said. "Those sanctions [on Russia for interfering in the 2016 election] should remain because Russia hasn't changed its behavior, it's just denied and obfuscated and continued to behave badly."