Christie avoided any direct criticism in the excerpt of Senate or House Republicans, or President Obama.
House Republicans passed a measure last week to keep the government operating through Dec. 15, that also would defund ObamaCare.
Senate Democrats are poised to strip the ObamaCare language from the bill and send the funding measure back to the House. The Senate version would fund the government through Nov. 15.
It's unclear what will happen next. The government will shut down on Oct. 1 without a deal.
A few national Republican figures have criticized the idea of tying defunding ObamaCare to a measure to keep the government operating.
Texas Gov. Rick Perry (R) called the idea “a bit nonsensical” on Wednesday and former Florida Gov. Jeb Bush (R) has also opposed the plan.
Other possible GOP contenders in 2016 — including Sens. Marco Rubio (Fla.) and Rand Paul (Ky.) — joined Sen. Ted Cruz (Texas) on the Senate floor Tuesday to support the effort.
But they have split with GOP Senate leadership and more mainstream members who have blasted the idea because it could lead to a shutdown and hurt the Republican brand.