There are all sorts of federal laws concerning oaths, and who may administer them, but none specifically address the President, and some of them specifically exempt the President.
Here is the present oath for civil service employees, which specifically does not apply to the President, and the law on who may administer it.
Here is federal law on judges’ oaths, which doesn’t say who may administer, but adds later on, “Each justice or judge of the United States may administer oaths and affirmations and take acknowledgments.”
Here is federal law concerning the swearing in of Senators and Representatives.
As noted, none of these apply to the Presidency. To my knowledge, Congress has never specified qualifications to administer the Presidential oath. I suspect, but don’t know, that they’ve felt that since the wording of the oath is specified in the Constitution, it would be inappropriate to add or subtract from it via ordinary statutory law.