Evers' attorneys said he supports a request by a group of unions in one of the other legal challenges to the GOP laws, asking a judge to block parts of them from taking effect.
Mark Sommerhauser covers state government and politics for the Wisconsin State Journal.
Evers called the bill fiscally unsound, while Republicans rejected Evers' call for capping a tax credit on large manufacturers.
Evers' pick to lead the state Department of Transportation, Secretary-designee Craig Thompson, is set for a confirmation hearing in a state Senate committee Wednesday.
But Evers said he supports giving more information to taxpayers on much of their tax money goes to private schools that receive state support through vouchers.
The Wisconsin State Journal first reported on the proposal, which will be included in Evers' plan for the next state budget.
The proposal calls for allowing criminal records to be expunged for people with previous convictions for small amounts of marijuana.
In an interview with the Wisconsin State Journal, Baldwin did not rule out being her party's vice presidential nominee, saying "I haven’t given it much thought."
Evers said his proposal for the next state budget will allocate $2 million in funding for a state program that helps replace, rebuild or treat contaminated private wells.
Evers also said he will return to using the executive power to grant criminal pardons -- a departure from former Gov. Scott Walker, who declined to grant any.
The state's influential business and manufacturing lobby criticized the move, saying it would harm Wisconsin's manufacturers, cost the state jobs and boost the cost of energy.