Is make_unique in initializer list in copy constructor good purpose to not use noexcept specifier?

I have a hurdle with noexcept specifier next to my copy constructor.

#include <memory>
#incldue <vector>

class Foo final {
 public:
  Foo() noexcept = default;
  Foo(const Foo& oth) : impl_(std::make_unique<Foo::Impl>()) {} // <---
  ~Foo() noexcept = default;

private:
  class Impl;
  std::unique_ptr<Impl> impl_;
};

class Foo::Impl {
  ...
 private:
  std::vector<int> some_data;
}

I'm not sure if I should put noexcept next to copy constructor while there is std::make_unique that can throw bad_alloc.

Any help will be apreciated!