Mr. Kerik, a close ally of the pro-Trump lawyer Rudolph W. Giuliani, was asked about Mr. Trump’s fund-raising efforts and attempts to investigate fraud in the 2020 election.
The special counsel, Jack Smith, continues to push ahead on several fronts as he assembles evidence about former President Donald J. Trump’s efforts to retain power after the 2020 election.
Over the past week, it also seized the phones of two top Trump advisers, a sign of an escalating investigation two months before the midterm elections.