The president also told reporters he's considering two women and plans to interview several potential candidates for the job this weekend, The Associated Press reported.
The president on Wednesday, the day Kennedy, 81, announced his retirement, said that he'll draw from a list of 25 candidates that he used to nominate Justice Neil Gorsuch last year.
Kennedy was appointed to the nation’s highest court by President Ronald Reagan in 1987.
“It has been the greatest honor and privilege to serve our nation in the federal judiciary for 43 years, 30 of those years on the Supreme Court,” Kennedy said in a statement.
In announcing his retirement Wednesday, he also said he wanted to spend more time with his family.
Kennedy is the longest-serving justice currently on the court.
Senate Majority Leader Mitch McConnell also announced his intention Wednesday to move quickly in replacing Kennedy, saying that lawmakers will vote this fall before the mid-term elections to approve of Kennedy’s replacement.