On Tuesday, Tennessee Senator Marsha Blackburn opposed the requests, accusing Democrats of using the measures as a fundraising effort to attack Republicans knowing that they would prevent their passage.
The number of cases of a deadly new coronavirus rose to more than 40000 in mainland China.
The World Health Organization has warned all governments to be on alert and screening has been stepped up at airports around the world.
Their introduction to the upper chamber of Congress follows a Senate Intelligence Committee report investigating 2016 election interference, revealing how poorly postured US elections are against Russian-backed manipulation, warning that have largely been ignored by Republicans.
A stack of 250 bills languished on Mr McConnell's desk late last year, including nine election security bills.
"Once again, Senate Republicans, afraid of the wrath of President Trump and Senator McConnell, blocked our efforts", said Minority Leader Chuck Schumer.
"We'll see if our Republican friends are willing to stand up and do what's necessary to protect elections, something that Americans have died for over the centuries.". »