Del. Code tit. 29, § 6338

The Governor may, before final action thereon by the General Assembly, amend or supplement the Budget Appropriation Bill to correct an error or oversight or in case of an emergency, by delivering such an amendment or supplement to both Houses. The amendment or supplement shall thereby become a part of the Budget Appropriation Bill as an addition to the items of the Bill or as a modification or substitution for any item of the Bill such amendment or supplement may affect.