"Is there popular will to hold early presidential elections? If there is, I don't have a problem with it," Assad told Russian state news agency RIA Novosti, according to an Arabic-language transcript provided by Damascus.
Assad's term is set to end in 2021, but a peace process backed by world powers envisages UN-monitored parliamentary and presidential elections within the next 18 months.
Assad says civil war has cost Syria $200 billion
Assad's future -- including whether he would be allowed to run in those elections -- remains controversial. The opposition insists he must stand down.
Elections for parliament, which has a four-year term, are scheduled for April 13. The previous round was in May 2012.
Syria last held a presidential poll in June 2014, when Assad was re-elected for a seven-year term with 88.7 percent of the vote.
At the time, polling took place only in government-controlled territory and in several dozen countries that have not cut diplomatic ties with Syria's government, including Lebanon.
White House says Assad role in Syria unity government a 'non-starter'
Assad said all Syrian citizens would have the opportunity to vote in a future presidential vote.
"It would include every Syrian, whether he is inside Syria or outside Syria... Every Syrian citizen in every part of the world has the right to vote," he said in the interview.
Since Syria's conflict erupted in March 2011, more than 270,000 people have been killed and nearly five million have fled the country.
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