Adjust branch label sizes in sunburst plot

Is there a way to specify label font size for branches of a sunburst graph, or at least to provide a minimum? When branches get too small the label becomes unreadable, and there are instances where the label could spill over the branch to remain readable.

p <- plot_ly(
  labels = c("Eve", "Cain", "Seth", "Enos", "Noam", "Abel", "Awan", "Enoch", "Azura"),
  parents = c("", "Eve", "Eve", "Seth", "Seth", "Eve", "Eve", "Awan", "Eve"),
  values = c(65, 14, 12, 10, 2, 6, 6, 4, 4),
  type = 'sunburst',
  branchvalues = 'total'
)

p <- plot_ly(
  labels = c("Eve", "Cain", "Seth", "Enos", "Noam", "Abel", "Awan", "Enoch", "Azura"),
  parents = c("", "Eve", "Eve", "Seth", "Seth", "Eve", "Eve", "Awan", "Eve"),
  values = c(65, 14, 12, 10, 2, 6, 6, .5, 4),
  type = 'sunburst',
  branchvalues = 'total'
)