The military adviser to Iran's Supreme Leader said Sunday that Tehran's response to the killing by the United States of its most most influential general will "for sure be military." In an exclusive interview with CNN in Tehran, the adviser -- Maj. Gen. Hossein Dehghan -- made the most specific and direct threat yet by a senior Iranian official following the killing of Gen. Qasem Soleimani in a US drone strike in Baghdad. Dehghan said Iran would retaliate directly against US "military sites." Dehghan is a former defense minister and is now the main military adviser to Ayatollah Ali Khamenei. He told CNN that reprisals would come from Iran itself, not its allied militia in the region. "It might be argued that there could be proxy operations. We can say America, Mr. Trump, has taken action directly against us -- so we take direct action against America." The United States has a growing military presence in the region. Thousands of US troops have been deployed to Saudi Arabia, and there are some 5,000 at bases in Iraq. The US also has a major air base in Qatar and a naval presence in Bahrain, as well as troops stationed in Jordan, Kuwait and the United Arab Emirates. In common with other Iranian officials, Dehghan suggested that Iran was in no hurry to retaliate and would choose its targets carefully. "Our reaction will be wise, well considered and in time, with decisive deterrent effect." Iran's President Hassan Rouhani had earlier said that Americans would face consequences for killing Soleimani "not only today, but also in the coming years." Given the rhetoric of both sides, there is a growing risk of escalation in what has become the most dangerous confrontation between the US and Iran in decades. Late Saturday, President Donald Trump tweeted that "If Iran attacks an American Base, or any American, we will be sending some of that brand new beautiful equipment their way...and without hesitation!" The President continued: "They attacked us, & we hit back. If they attack again, which I would strongly advise them not to do, we will hit them harder than they have ever been hit before!" Dehghan responded defiantly to Trump's warning. "It was America that has started the war. Therefore, they should accept appropriate reactions to their actions," he said. "The only thing that can end this period of war is for the Americans to receive a blow that is equal to the blow they have inflicted. Afterward they should not seek a new cycle." In recent months, officials in the Trump administration and even the President himself have floated the possibility of renewed dialogue with Iran. Dehghan dismissed that possibility. "Look, for several reasons we didn't want to negotiate with this incumbent US administration. Now, after what happened to Mr. Soleimani there is no point for negotiations or relations. It's impossible."