Texas Government Code - GOV'T § 317.003. Time and Scope of Proposal

(a) The governor or Legislative Budget Board may make a proposal at any time except during a regular or special session of the legislature.  A proposal may apply to an appropriation that has been made for any specified fiscal year that has not ended at the time the proposal is made.

(b) Except as provided by Section 317.005(f), a proposal may provide for the withholding of appropriations made from funds dedicated by statute to a specific state agency or for a specific purpose and may provide for the transfer of appropriations made from statutorily dedicated funds to an agency or for a purpose not authorized by the statute.  Funds dedicated by the Texas Constitution are subject to being withheld under this chapter but are not subject to transfer except to another state agency entitled to receive appropriations from the funds under the terms of the constitution.  Federal funds appropriated by the legislature are subject to being withheld under this chapter but may not be transferred except as permitted by federal law.

(c) The governor's authority to make proposals is independent of any authority to control expenditures of state agencies that is granted the governor under other law.