A spindle drive for a closure element of a motor vehicle. The spindle drive including a drive unit and a spindle-spindle nut transmission and including a spindle and a spindle unit for generating drive movements. The spindle drive including first and second drive sections, including first and second drive connections and configured to move relative to another between a retracted state and mi extended state over an adjustment path along a longitudinal axis of the drive unit. The spindle disposed in the second drive section and is axially fixed relative to the first drive connection, and the spindle nut is disposed in the first drive section and is axially fixed relative to the second drive connection. The spindle drive includes a support sleeve radially surrounding the spindle nut in the extended state and is mounted such that the spindle nut is axially moved relative to the two drive connections.