Just weeks after an appearance in which he, President Obama and three other governors promoted a minimum wage of at least $10, Gov. Dannel P. Malloy returned to the Cafe Beauregard in New Britain, Conn., and signed a bill that will raise the state’s to $10.10 starting in 2017.

Though other states are also looking at lifting their minimum wages and Mr. Obama is urging Congress to increase the federal minimum wage to $10 or more an hour, Connecticut’s future rate would be the highest of all state rates that are now on the books.

“This legislation is about making sure that people working full time and supporting families aren’t living in poverty,” Mr. Malloy said. “The extra money that these folks earn will be put back into our economy and help our communities.”

Twenty-one states and the District of Columbia currently set rates that are higher than the $7.25 imposed by federal law, with Washington State topping the list at $9.32, Oregon second at $9.10, Vermont third at $8.73 and Connecticut fourth at $8.70.