WASHINGTON — A push to bring immigration legislation to the House floor, led by an unusual coalition of business executives, prominent conservatives and evangelical leaders, threatens to create another schism in the Republican Party and could have a noticeable effect on campaign contributions before the midterm elections.

Several Republican executives and donors who are part of a lobbying blitz coming to Capitol Hill next week said they were considering withholding, or had already decided to withhold, future financial support to Republican lawmakers they believe are obstructing progress on immigration.

“I respect people’s views and concerns about the fact that we have a situation in the United States where we have millions of undocumented immigrants,” said Justin Sayfie, a lawyer from Florida who said he helped Mitt Romney raise more than $100,000 for his presidential campaign last year, in addition to helping other Republican candidates. “But we have what we have. This is October 2013. And the country will be better off if we fix it.”

Capitol Hill has for months been the focus of immigration advocates urging lawmakers to take up one of the four measures that have been approved by the Republican-led House Judiciary Committee. What is different about next week’s lobbying effort is that it will include about 600 mostly conservative leaders in business, agriculture and religion who will focus on 80 representatives from 40 states — all of them Republican.