Per this Wall Street Journal report, the White House will be willing to roll back its executive amnesty once Republicans pass a version legislatively:
His first critical test could come when he announces his executive action on immigration, a move he is expected to make after returning later this month from a week-long trip to Asia. The details could set the tone for relations between the White House and Congress over the next two years.
The White House recognizes that a move on immigration could alienate Republicans whose support the president will need for other priorities. White House officials are considering how far the president should go in unilaterally changing immigration policy. To minimize GOP backlash, they plan to have the president make clear that if Congress passes immigration legislation he would immediately roll back his executive orders.