Detroit's nonpartisan mayoral primary is Aug. 2. The top two candidates face off in the Nov. 8 general election.
Kilpatrick, who was elected mayor in 2001, has been struggling with a budget deficit and questions about his personal conduct.
Asked whom they support for mayor, 34 percent of those surveyed said Hendrix, 23 percent said Kilpatrick, 16 percent said City Councilwoman Sharon McPhail (search) and 7 percent said state Sen. Hansen Clarke (search).
The survey, conducted July 5-7 by EPIC/MRA of Lansing and published Monday in the Detroit Free Press, showed other candidates receiving a combined 9 percent. Eleven percent were undecided.
The latest survey showed Hendrix still head in a two-way race, but losing ground to Kilpatrick — with 53 percent favoring or leaning toward Hendrix, 39 percent favoring or leaning toward Kilpatrick and 8 percent undecided.
A late-May poll showed 57 percent supporting or leaning toward Hendrix, 30 percent supporting or leaning toward Kilpatrick and 13 percent undecided.
Both polls surveyed 400 likely voters and had a margin of error of 5 percentage points.