House immigration negotiators have given themselves until the end of the week to hash out language on what kind of health benefits should be available to undocumented immigrants seeking U.S. citizenship, a crucial issue for the talks. If they can't resolve this issue, the four-year immigration negotiations could come to a crashing halt. Top Democrats said late Tuesday they do not think Republicans will walk away from the talks. It was only less than a week ago that the bipartisan House group announced it had reached a tentative agreement on a proposal "in principle" to be introduced in June.