Seventy-six percent of people say they favor such a deal between the two countries, while 21 percent oppose it, according to a CNN/ORC International poll released Monday.
"Large majorities in all major demographic categories favor negotiations with Iran over their nuclear program, including 87 percent of Democrats and 68 percent of Republicans. This is nothing new for the U.S. public — in 2009, virtually the same number of Americans said they favored negotiations with Iran," CNN Polling Director Keating Holland said.
Obama and Rouhani have also exchanged letters this year, and both spoke positively last week about reaching a deal on Iran’s nuclear weapons program at the U.N. General Assembly.
The emerging diplomatic negotiations with Iran are not sitting well with some of America's allies.
Israeli Prime Minister Benjamin Netanyahu is wary of the talks and will be meeting with Obama and Vice President Biden at the White House Monday.