HOUSTON/WASHINGTON, Jan 6 (Reuters) - Caracas and Washington have reached a deal to export up to $2 billion worth of Venezuelan crude to the United States, U.S. President Donald Trump said on Tuesday, a flagship negotiation that would divert supplies from China while helping Venezuela avoid deeper oil production cuts.

The agreement is a strong sign that the Venezuelan ​government is responding to Trump's demand that they open up to U.S. oil companies or risk more military intervention. Trump has said he wants interim President Delcy Rodriguez to give the U.S. ‌and private companies "total access" to Venezuela's oil industry.

Venezuela has millions of barrels of oil loaded on tankers and in storage tanks that it has been unable to ship due to a blockade on exports imposed by Trump since mid-December.

The blockade was part of rising U.S. ‌pressure on the government of Venezuelan President Nicolas Maduro that culminated in U.S. forces capturing him this weekend. Top Venezuelan officials have called Maduro's capture a kidnapping and accused the U.S. of trying to steal the country's vast oil reserves.