ST. PAUL — The Minnesota Senate is ready to vote on a bill to bump up the state’s minimum wage, although not as fast as House lawmaking counterparts want.

The Senate plan due for action Wednesday would bring the wage floor up to $7.75 per hour by August 2015 and then make annual adjustments based on inflation.

Last week, the House approved a bill to raise the minimum wage in three steps until it hits $9.50 an hour in 2015. Future increases would be automatic and based on inflation.

The minimum wage bill is considered a priority of Democratic majorities this session. They have until May 20 to pass a compromise.

Democratic Gov. Mark Dayton says he would support a minimum wage bill that sets the rate between $9 and $9.50 per hour.