Rauschenberger is one of a number of Republicans who have asked party leaders to consider them as a possible replacement for Jack Ryan, who left the race last month.
State Republican leaders are expected to name their choice next week to face Democrat Barack Obama the fall.
In an interview with The Associated Press in Washington Thursday, Hastert said he hopes Rauschenberger will take the nomination, and Hastert says if the Elgin Republican runs, GOP leaders will do everything they can to help him.
Hastert says Rauschenberger would be able to run a campaign based on Republican principles and would be able to have an honest debate with Obama.
Viewers with disabilities can get assistance accessing this station's FCC Public Inspection File by contacting the station with the information listed below. Questions or concerns relating to the accessibility of the FCC's online public file system should be directed to the FCC at 888-225-5322, 888-835-5322 (TTY), or firstname.lastname@example.org.