Metropolitan State College of Denver earlier this month established for illegal immigrants who meet specific requirements a tuition rate that is significantly lower than the nonresident rate.
The move followed a failed legislative attempt from Colorado Democrats that would have established such a tuition tier at schools across the state.
Suthers responded Tuesday, saying Metro State's unilateral decision is "not supported by governing law."
Other Colorado Republicans have criticized the school's move, and Suthers echoed their call, saying the tuition discount amounts to a "public benefit" that illegal immigrants are not entitled to under state and federal laws.
Suthers said the school does not have the authority to set such a rate and added that lawmakers must decide whether to provide such a benefit.
The Joint Budget Committee is scheduled to talk with Metro State about the new rate Wednesday.