Trump's remarks came hours after Kremlin said the two leaders will get together "in a third country," with the date and venue to be announced Thursday.
The idea of a Trump-Putin summit, floated for months, comes amid still strained ties between Washington and Moscow, with little solid outcome expected by experts.
Following the announcement by the Kremlin, Trump told reporters at the White House that he will "probably" meet Putin after attending the NATO Summit in Brussels on July 11-12.
The location could be in Helsinki or Vienna, he added.
Trump last met Putin in Vietnam on the sidelines of an Asia-Pacific summit in November.
The announcements from both sides came after Putin's meeting with visiting U.S. National Security Advisor John Bolton in Moscow.
Bolton's visit reflected "the continued desire of the Trump administration to improve relations with Russia," Dan Mahaffee, senior vice president and director of policy at the Center for the Study of the Presidency and Congress, told Xinhua.