Bush's brother, former Florida Gov. Jeb Bush, last week urged the GOP-led House to pass the Senate's comprehensive immigration reform package with a few additional requirements.
Jeb Bush, who is considering a 2016 bid for the White House, made his comments in a opinion piece he co-wrote in the Wall Street Journal.
The former president spoke about immigration reform at a conference last December.
"America is a nation of immigrants. Immigrants have helped build the country that we have become, and immigrants can help build a dynamic tomorrow," he said.
"As our nation debates the proper course of action relating to immigration, I hope we do so with a benevolent spirit and keep in mind the contribution of immigrants," he added.