The 49-year-old judge is a selection that the conservative right will likely embrace.
When it comes to the country's highest court, far-right social conservatives will be guiding the next president's hand.
On Monday the court will hear Texas and 25 other states' argument against the president's 2014 executive order that aims to "bring undocumented immigrants out of the shadows."
The divided decision highlighted the potential impact of Antonin Scalia's death on a slate of important rulings pending in the court.
Missouri lawmakers are working to restrict access to abortion with state-level laws whose fate could eventually be determined by the late Justice Antonin Scalia's replacement on the US Supreme Court.
The Supreme Court declined to hear a lawsuit filed by Nebraska and Oklahoma against Colorado over the state's legalization and regulation of marijuana.
The Obama administration is interviewing five candidates to replace Justice Antonin Scalia after his death last month. But the path to confirmation remains fraught.
With a vacant seat on the bench, the future of US abortion law will likely hinge on a swing vote by Justice Anthony Kennedy.