Burke made the comments in an interview that aired Sunday on "UpFront with Mike Gousha."
The state's minimum wage is currently $7.25 an hour.
Burke's stance puts her at odds with Republican Gov. Scott Walker. He has spoken out against legislation that would gradually raise the state's minimum wage. The bills are in committees in both chambers, which are controlled by Republicans.
Burke had earlier said she favored a smaller increase of about 35 cents an hour. But on Sunday she endorsed the larger, phased increase to $10.10 proposed by Democrats.
She says increasing the minimum wage would lead to people being able to support themselves.
In response to Mary Burke's comments on the minimum wage, the Wisconsin Republican Party sent FOX 11 the following statement:
"Mary Burke is the product of polling and focus groups, so we shouldn't be surprised that she again changed positions after looking at numbers and feeling pressure from her Left Wing base. Wisconsin deserves a governor who is a true leader and committed to moving our state forward - not someone who conforms positions based upon which way the wind is blowing." - Wisconsin GOP Executive Director Joe Fadness