On Tuesday, Obama asked Congress for $3.7 billion in emergency spending to address the thousands of unoccupied young migrants who enter the U.S. illegally.
Administration officials have said airstrikes have become less a focus of recent deliberations but have also said the president could order such a step if intelligence agencies can identify clear targets on the ground.
Obama on Tuesday is traveling to Pittsburgh, where he will visit a workshop designed to give entrepreneurs, inventors and creators the space and the tools to design and build their prototypes.
Obama says Ukrainians rejected violence and corruption and chose democracy in their presidential election. He's praising Poroshenko for reaching out the country's restive east.
Republican Sen. Bob Corker of Tennessee described Tuesday night's White House meeting with chief of staff Denis McDonough and national security adviser Susan Rice as "one of the most bizarre I've attended."
During the two-day visit, which follows stops in Japan and South Korea, Obama will also meet with citizen leaders and hold a town hall-style forum with young leaders from across the region.
The Senate this week is scheduled to take up gender pay equity legislation that would affect all employers, but the White House-backed bill doesn't have enough Republican support to overcome procedural obstacles.