WASHINGTON (Reuters) -Canada's Prime Minister Mark Carney is making his second visit to the White House in five months on Tuesday under increasing pressure to address U.S. tariffs on steel, autos and other goods that are hurting Canada's economy.

A Canadian government official and several analysts played down the chances of an imminent trade deal with U.S. President Donald Trump and said the mere fact that discussions are continuing should be considered a success for Carney.

The prime minister last visited the Oval Office in May, when he bluntly told Trump that Canada would never be for sale in response to Trump's repeated threat to purchase or annex Canada.

Since then, the prime minister has made numerous concessions to Canada's biggest trading partner, including dropping some counter-tariffs and scrapping a digital services tax aimed at U.S. tech companies.

Carney's office has said the working visit will focus on forging a new economic and security relationship with the U.S.

White House spokeswoman Karoline Leavitt said Monday: "I'm sure trade will be a topic of discussion ... and all of the other issues that are facing both Canada and the United States."

While the majority of Canada's exports are entering the United States tariff-free under the U.S.-Canada-Mexico free trade agreement, tariffs have pummeled Canada's steel, aluminum and auto sectors and a number of small businesses.

"The reality is that right now, Canadian products have among the lowest tariff rate," said Jonathan Kalles, a former adviser to Carney's predecessor, Justin Trudeau. "You don't want to poke the bear when things could be much worse," he said, adding that any meeting with Trump is a calculated risk.

"Carney will probably get a better deal through private negotiations, not the pomp and ceremony of going to the White House," he said.

Carney won an election in April promising to be tough with Trump and secure a new economic relationship with the United States. Shachi Kurl, president of the Angus Reid Institute, said polls show Canadians have largely been willing to give Carney time to deal with Trump.

"But that amount of time is finite," Kurl said, noting pressure may build with job losses mounting and economic growth hobbled by U.S. tariffs. The U.S. is the destination for nearly three-quarters of Canadian exports.

Canada's opposition leader, Pierre Poilievre, has criticised Carney's approach to Trump, noting the prime minister's earlier pledge to "negotiate a win" by July 21.

Asa McKercher, a specialist in Canada-U.S. relations at St. Francis Xavier University, said Carney's meeting with Trump would be a success if there is any recognition that Canada has moved to address some of Trump's persistent grievances.

"Carney has just set up this new defense agency and boosted military spending, so it would be great if Trump could reduce some of those sectoral tariffs on autos," McKercher said, citing Trump's past complaint that Canada is a "military free-rider."