These exception, could be based on America's national security interest, White House Press Secretary Sarah Sanders told reporters, days after Commerce Secretary Wilbur Ross insisted that there was going to be no country specific exemptions.
Trump insisted that steps like this is necessary and the US would overcome any trade war as a result of this because it has a USD800 billion trade deficit.
Canada has said that such an import tariff is unacceptable.
However, White House said that its northern neighbour would be exempted from such a new import tariff.
"We expect that the president will sign something by the end of the week and there are potential carveouts for Mexico and Canada based on national security and possibly other countries as well, based on that process," Sanders told reporters.
"That would be case-by-case and country-by-country basis, but it would be determined whether or not there is a national security exemption," she asserted.
The president, she said, has been very clear that he wants to address the trade imbalance that the US has with a number of countries.
He feels that the US has been taken advantage for far too long and he's not going to allow that to continue under his watch, she said.
In a tweet, Trump said that China has been asked to develop a plan for the year for a USD 1 billion reduction in the trade deficit.
Sanders said the administration had conversations with officials last week.
"We're going to continue those conversations with them," she said.
Responding to a question on global reaction, she said Trump has been talking about this for a long time.
"It shouldn't come as a surprise to anybody. Other countries have created unfair trade policies for decades that have harmed our national and economic security," she said.
"The president wants a strong economy and a strong national security, and a strong US economy benefits all Americans, particularly by helping us maintain a strong military and defend US national security interests. And he's going to continue every day to fight for making sure that we have strong, both national and economic security," Sanders said.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)