"Given what's happened with Van Gundy, they're going to make another run at him," the source said.
Kerr is in Oklahoma City to call Game 5 of the Thunder-Clippers series on Tuesday night. Yahoo! Sports, which first reported the Warriors' renewed interest in Kerr, said Golden State management would travel to Oklahoma City to make another push for him.
Kerr, though, remains the lead head-coaching candidate for the New York Knicks.
There is no timetable for the Knicks to finalize his hire, but a source with knowledge of the situation told ESPN.com's Ramona Shelburne they would be "shocked" if he ended up anywhere but in New York.
The negotiations between Kerr and the Knicks have been in "the final stages" for at least a week. Both Kerr and Jackson are busy with other matters at the moment, which is the reason for the delay in finalizing a deal.
The Warriors initially reached out to Kerr shortly after firing Mark Jackson last week.
ESPN.com reported Saturday that the Warriors had cooled on their pursuit of Kerr because they became convinced he was too deep into negotiations with the Knicks.
The Warriors instead focused their efforts on Van Gundy. But the former Orlando Magic coach is progressing toward a deal with Detroit to become its coach and president of basketball operations, sources confirmed to ESPN.com's Marc Stein on Tuesday.
So Golden State's thinking changed in light of that development, according to the source.
The source said Golden State remains aware that the Knicks have an advantage in the pursuit of Kerr because of team president Phil Jackson's relationship with him. Kerr won three titles playing for Jackson in Chicago, and the two men remain close.
Kerr's agent, Mike Tannenbaum, has been in direct negotiations with the Knicks, according to a league source.
Information from ESPN.com's Ramona Shelburne was used in this report.