The White House, meanwhile, insisted that the North Korean issue could be resolved through diplomatic efforts.
"Obviously, the more that we can solve this diplomatically and continue to apply pressure on China and other countries to use the political and economic tools that they have to achieve a goal in stabilisation in the region, but also to tamp down the threat that North Korea faces, I think that is something that we all share," White House Press Secretary Sean Spicer told reporters.
Mr Spicer said the Senators would be briefed by four top officials of the administration.
"There are four briefers that are coming up to talk about the situation in North Korea. This is a Senate-led meeting that they are getting, those four briefers will share to them the current situation in North Korea," he said.
Senator Jim Inhofe, senior member of the Senate Armed Services Committee on Tuesday said that North Korea poses a most imminent threat to the US.
The Pentagon described it as a routine visit. USS Michigan is one of four Ohio-class guided-missile submarines.
The guided-missile submarines provide the Navy with unprecedented strike and special operation mission capabilities from a stealthy, clandestine platform.
Armed with tactical missiles and equipped with superior communications capabilities, guided-missile submarines are capable of launching missile strikes and supporting Special Operation Forces (SOF) missions.