During the 2013 government shutdown, Trump criticized Obama for his failure to "get everybody in a room" and lead.
Staffing levels may halt the vital pre-launch test.
Trump's senior policy advisor, Stephen Miller, is hindering progress on an immigration deal, GOP Senator Lindsey Graham told reporters.
Speaker of the House Paul Ryan said Sunday that the House would agree to an even shorter short-term spending bill to end the government shutdown.
Earlier in the day, Trump tweeted that Republicans should use the tactic to pass the long-term budget.