Reuters first reported on the discussions.
The White House did not immediately respond to a CNN request for comment.
An administration official told CNN that the US Centers for Disease Control and Prevention has expressed some reservations about lifting the restrictions, but the agency is not expected to block the move.
its worst surge of coronavirus, and as many European countries also face higher levels of coronavirus cases.
Trump first banned most travel from the European Union and the UK in March amid an escalating pandemic. The EU soon followed suit, restricting most travel from the US and other countries.