Republican Arkansas Governor Asa Hutchinson asked lawmakers for changes to a so-called religious freedom bill approved by lawmakers on Tuesday.

The measure, HB 1228, seeks to prohibit any state and local laws that “substantially burden” a person's ability to follow his or her religious beliefs without a “compelling” interest. Critics argue that the bill could open the door to discrimination against gay men and lesbians.

(Related: Arkansas House approves “religious freedom” bill.)

Hutchinson has previously said that he would sign the bill. But that was before passage of a similar measure in Indiana attracted nationwide attention, forcing Republican Governor Mike Pence to ask for a “fix,” and Arkansas-based Walmart, the world's largest retailer, weighed in against the bill.

(Related: Walmart asks Arkansas Gov. Asa Hutchinson to veto anti-gay bill.)

“I've asked them to recall it and change the language,” Hutchinson told reporters on Wednesday.

He said he wants the proposed legislation to more closely mirror a federal version approved in 1993 that does not define a person to include a company or association.